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Wajib.","2026-10-08T09:24:41.433Z",{"id":297,"subjectId":15,"levelId":55,"parentId":98,"slug":1455,"name":1456,"description":1457,"order":1458,"createdAt":1459,"updatedAt":1459},"matriks","Matriks","Matriks — Kelas 11 Lanjut.",13,"2026-10-08T09:24:41.441Z",{"id":1461,"subjectId":24,"levelId":55,"parentId":98,"slug":1462,"name":1463,"description":1464,"order":1458,"createdAt":1465,"updatedAt":1465},"cmuzbyhhz003k71r9s7s8evk1","rangkaian-pegas","Rangkaian Pegas","Rangkaian Pegas — Kelas 11.","2026-10-08T09:24:41.111Z",{"id":159,"subjectId":24,"levelId":55,"parentId":98,"slug":1467,"name":1468,"description":1469,"order":1470,"createdAt":1471,"updatedAt":1471},"fluida","Fluida","Fluida — Kelas 11.",14,"2026-10-08T09:24:41.113Z",{"id":273,"subjectId":15,"levelId":55,"parentId":98,"slug":1473,"name":1474,"description":1475,"order":1470,"createdAt":1476,"updatedAt":1476},"polinomial","Polinomial","Polinomial — Kelas 11 Lanjut.","2026-10-08T09:24:41.454Z",{"id":189,"subjectId":15,"levelId":55,"parentId":98,"slug":1478,"name":1479,"description":1480,"order":1481,"createdAt":1482,"updatedAt":1482},"fungsi-trigonometri","Fungsi Trigonometri","Fungsi Trigonometri — Kelas 11 Lanjut.",15,"2026-10-08T09:24:41.469Z",{"id":183,"subjectId":24,"levelId":55,"parentId":98,"slug":1484,"name":1485,"description":1486,"order":1481,"createdAt":1487,"updatedAt":1487},"gerak-harmonik-sederhana-ghs","Gerak Harmonik Sederhana (GHS)","Gerak Harmonik Sederhana (GHS) — Kelas 11.","2026-10-08T09:24:41.119Z",{"id":213,"subjectId":24,"levelId":55,"parentId":98,"slug":1489,"name":1490,"description":1491,"order":1492,"createdAt":1493,"updatedAt":1493},"gelombang-mekanik","Gelombang Mekanik","Gelombang Mekanik — Kelas 11.",16,"2026-10-08T09:24:41.132Z",{"id":279,"subjectId":15,"levelId":55,"parentId":98,"slug":1248,"name":1249,"description":1495,"order":1492,"createdAt":1496,"updatedAt":1496},"Vektor — Kelas 11 Lanjut.","2026-10-08T09:24:41.485Z",{"id":135,"subjectId":24,"levelId":55,"parentId":98,"slug":1498,"name":1499,"description":1500,"order":1501,"createdAt":1502,"updatedAt":1502},"gelombang-cahaya","Gelombang Cahaya","Gelombang Cahaya — Kelas 11.",17,"2026-10-08T09:24:41.150Z",{"id":219,"subjectId":15,"levelId":55,"parentId":98,"slug":1504,"name":1505,"description":1506,"order":1501,"createdAt":1507,"updatedAt":1507},"transformasi-geometri","Transformasi Geometri","Transformasi Geometri — Kelas 11 Lanjut.","2026-10-08T09:24:41.498Z",{"id":165,"subjectId":15,"levelId":55,"parentId":98,"slug":1509,"name":1510,"description":1511,"order":1512,"createdAt":1513,"updatedAt":1513},"fungsi-dan-pemodelannya","Fungsi dan Pemodelannya","Fungsi dan Pemodelannya — Kelas 11 Lanjut.",18,"2026-10-08T09:24:41.504Z",{"id":201,"subjectId":24,"levelId":55,"parentId":98,"slug":1515,"name":1516,"description":1517,"order":1512,"createdAt":1518,"updatedAt":1518},"optik","Optik","Optik — Kelas 11.","2026-10-08T09:24:41.161Z",{"id":75,"subjectId":15,"levelId":55,"parentId":98,"slug":1520,"name":83,"description":1521,"order":1522,"createdAt":1523,"updatedAt":1523},"barisan-dan-deret-kelas-12-wajib","Barisan dan Deret — Kelas 12 Wajib.",19,"2026-10-08T09:24:41.512Z",{"id":374,"subjectId":24,"levelId":55,"parentId":98,"slug":1525,"name":1526,"description":1527,"order":1522,"createdAt":1528,"updatedAt":1528},"suhu-dan-kalor","Suhu dan Kalor","Suhu dan Kalor — Kelas 11.","2026-10-08T09:24:41.169Z",{"id":105,"subjectId":15,"levelId":55,"parentId":98,"slug":1530,"name":1531,"description":1532,"order":1533,"createdAt":1534,"updatedAt":1534},"bunga","Bunga","Bunga — Kelas 12 Wajib.",20,"2026-10-08T09:24:41.518Z",{"id":171,"subjectId":24,"levelId":55,"parentId":98,"slug":1536,"name":1537,"description":1538,"order":1533,"createdAt":1539,"updatedAt":1539},"teori-kinetik-gas","Teori Kinetik Gas","Teori Kinetik Gas — Kelas 11.","2026-10-08T09:24:41.188Z",{"id":380,"subjectId":15,"levelId":55,"parentId":98,"slug":1541,"name":1542,"description":1543,"order":1544,"createdAt":1545,"updatedAt":1545},"investasi-dan-pinjaman","Investasi dan Pinjaman","Investasi dan Pinjaman — Kelas 12 Wajib.",21,"2026-10-08T09:24:41.525Z",{"id":398,"subjectId":24,"levelId":55,"parentId":98,"slug":1547,"name":1548,"description":1549,"order":1544,"createdAt":1550,"updatedAt":1550},"termodinamika","Termodinamika","Termodinamika — Kelas 11.","2026-10-08T09:24:41.202Z",{"id":326,"subjectId":15,"levelId":55,"parentId":98,"slug":1552,"name":1553,"description":1554,"order":1555,"createdAt":1556,"updatedAt":1556},"kaidah-pencacahan","Kaidah Pencacahan","Kaidah Pencacahan — Kelas 12 Wajib.",22,"2026-10-08T09:24:41.540Z",{"id":267,"subjectId":24,"levelId":55,"parentId":98,"slug":1558,"name":1559,"description":1560,"order":1555,"createdAt":1561,"updatedAt":1561},"listrik-statis","Listrik Statis","Listrik Statis — Kelas 12.","2026-10-08T09:24:41.215Z",{"id":237,"subjectId":24,"levelId":55,"parentId":98,"slug":1563,"name":1564,"description":1565,"order":1566,"createdAt":1567,"updatedAt":1567},"listrik-arus-searah","Listrik Arus Searah","Listrik Arus Searah — Kelas 12.",23,"2026-10-08T09:24:41.227Z",{"id":285,"subjectId":15,"levelId":55,"parentId":98,"slug":1569,"name":1418,"description":1570,"order":1566,"createdAt":1571,"updatedAt":1571},"peluang-kelas-12-wajib","Peluang — Kelas 12 Wajib.","2026-10-08T09:24:41.547Z",{"id":249,"subjectId":15,"levelId":55,"parentId":98,"slug":1573,"name":1574,"description":1575,"order":1576,"createdAt":1577,"updatedAt":1577},"geometri-analitik","Geometri Analitik","Geometri Analitik — Kelas 12 Lanjut.",24,"2026-10-08T09:24:41.553Z",{"id":243,"subjectId":24,"levelId":55,"parentId":98,"slug":1579,"name":1580,"description":1581,"order":1576,"createdAt":1582,"updatedAt":1582},"kemagnetan","Kemagnetan","Kemagnetan — Kelas 12.","2026-10-08T09:24:41.245Z",{"id":117,"subjectId":15,"levelId":55,"parentId":98,"slug":1584,"name":1585,"description":1586,"order":1587,"createdAt":1588,"updatedAt":1588},"limit","Limit","Limit — Kelas 12 Lanjut.",25,"2026-10-08T09:24:41.562Z",{"id":68,"subjectId":24,"levelId":55,"parentId":98,"slug":1590,"name":1591,"description":1592,"order":1587,"createdAt":1593,"updatedAt":1593},"listrik-ac-arus-bolak-balik","Listrik AC \u002F Arus Bolak Balik","Listrik AC \u002F Arus Bolak Balik — Kelas 12.","2026-10-08T09:24:41.263Z",{"id":308,"subjectId":24,"levelId":55,"parentId":98,"slug":1595,"name":1596,"description":1597,"order":1598,"createdAt":1599,"updatedAt":1599},"gelombang-elektromagnetik","Gelombang Elektromagnetik","Gelombang Elektromagnetik — Kelas 12.",26,"2026-10-08T09:24:41.273Z",{"id":123,"subjectId":15,"levelId":55,"parentId":98,"slug":1601,"name":1602,"description":1603,"order":1598,"createdAt":1604,"updatedAt":1604},"turunan-fungsi","Turunan Fungsi","Turunan Fungsi — Kelas 12 Lanjut.","2026-10-08T09:24:41.575Z",{"id":332,"subjectId":15,"levelId":55,"parentId":98,"slug":1606,"name":1607,"description":1608,"order":1609,"createdAt":1610,"updatedAt":1610},"aplikasi-turunan","Aplikasi Turunan","Aplikasi Turunan — Kelas 12 Lanjut.",27,"2026-10-08T09:24:41.587Z",{"id":362,"subjectId":24,"levelId":55,"parentId":98,"slug":1612,"name":1613,"description":1614,"order":1609,"createdAt":1615,"updatedAt":1615},"pengantar-instrumental-digital","Pengantar Instrumental Digital","Pengantar Instrumental Digital — Kelas 12.","2026-10-08T09:24:41.283Z",{"id":207,"subjectId":15,"levelId":55,"parentId":98,"slug":1617,"name":1618,"description":1619,"order":1620,"createdAt":1621,"updatedAt":1621},"integral","Integral","Integral — Kelas 12 Lanjut.",28,"2026-10-08T09:24:41.599Z",{"id":350,"subjectId":24,"levelId":55,"parentId":98,"slug":1623,"name":1624,"description":1625,"order":1620,"createdAt":1626,"updatedAt":1626},"relativitas-khusus","Relativitas Khusus","Relativitas Khusus — Kelas 12.","2026-10-08T09:24:41.291Z",{"id":356,"subjectId":24,"levelId":55,"parentId":98,"slug":1628,"name":1629,"description":1630,"order":1631,"createdAt":1632,"updatedAt":1632},"gejala-kuantum","Gejala Kuantum","Gejala Kuantum — Kelas 12.",29,"2026-10-08T09:24:41.303Z",{"id":255,"subjectId":15,"levelId":55,"parentId":98,"slug":1634,"name":1635,"description":1636,"order":1631,"createdAt":1637,"updatedAt":1637},"penerapan-integral","Penerapan Integral","Penerapan Integral — Kelas 12 Lanjut.","2026-10-08T09:24:41.607Z",{"id":147,"subjectId":15,"levelId":55,"parentId":98,"slug":1639,"name":1640,"description":1641,"order":1642,"createdAt":1643,"updatedAt":1643},"analisis-data-peluang","Analisis Data & Peluang","Analisis Data & Peluang — Kelas 12 Lanjut.",30,"2026-10-08T09:24:41.611Z",{"id":291,"subjectId":24,"levelId":55,"parentId":98,"slug":1645,"name":1646,"description":1647,"order":1642,"createdAt":1648,"updatedAt":1648},"fisika-inti-dan-radioaktivitas","Fisika Inti dan Radioaktivitas","Fisika Inti dan Radioaktivitas — Kelas 12.","2026-10-08T09:24:41.318Z",{"id":1650,"subjectId":15,"levelId":55,"parentId":98,"slug":1651,"name":1652,"description":1653,"order":1654,"createdAt":1655,"updatedAt":1655},"cmuzbyhw700gw71r9o87lq7vd","logaritma","Logaritma","Logaritma — Kelas 12 Lanjut.",31,"2026-10-08T09:24:41.623Z",{"id":1657,"subjectId":15,"levelId":55,"parentId":98,"slug":1658,"name":1659,"description":1660,"order":1661,"createdAt":1662,"updatedAt":1662},"cmuzbyhw900gy71r9d9sjh9ie","program-linier","Program Linier","Program Linier — Kelas 12 Lanjut.",32,"2026-10-08T09:24:41.625Z",{"id":1664,"subjectId":15,"levelId":55,"parentId":98,"slug":1665,"name":1666,"description":1667,"order":1668,"createdAt":1669,"updatedAt":1669},"cmuzbyhwb00h071r97764r7hr","bangun-ruang","Bangun Ruang","Bangun Ruang — Kelas 12 Lanjut.",33,"2026-10-08T09:24:41.627Z",{"id":1671,"subjectId":15,"levelId":60,"parentId":98,"slug":1672,"name":125,"description":1673,"order":1674,"createdAt":1675,"updatedAt":1675},"demo-v2-topic-matematika-kuliah-1","definisi-turunan-limit","Definisi turunan dengan limit f′(x) = lim [f(x+h) − f(x)]\u002Fh, langkah menghitungnya, gradien garis singgung, syarat diferensiabel, dan contoh soal.",100,"2026-10-14T16:01:44.645Z",{"id":1677,"subjectId":15,"levelId":55,"parentId":98,"slug":1678,"name":1679,"description":1680,"order":1674,"createdAt":1681,"updatedAt":1681},"demo-v2-topic-matematika-sma-1","fungsi-kuadrat","Fungsi Kuadrat","Fungsi kuadrat f(x) = ax² + bx + c: pengaruh a, b, c pada grafik, rumus titik puncak, sumbu simetri, diskriminan, dan contoh soal nilai maksimum.","2026-10-14T16:01:44.503Z",{"id":1683,"subjectId":33,"levelId":55,"parentId":98,"slug":1684,"name":1685,"description":1686,"order":1674,"createdAt":1687,"updatedAt":1687},"demo-v2-topic-pemrograman-sma-1","fungsi-python-def-return","Fungsi Python","Pelajari cara membuat fungsi Python dengan def, parameter, nilai default, dan return, plus perbedaan return dan print lewat contoh program yang jelas.","2026-10-14T16:01:45.616Z",{"id":1689,"subjectId":24,"levelId":49,"parentId":98,"slug":1690,"name":1691,"description":1692,"order":1674,"createdAt":1693,"updatedAt":1693},"demo-v2-topic-fisika-smp-1","glb-dan-glbb","GLB dan GLBB","Rumus GLB dan GLBB lengkap: jarak, kecepatan, percepatan, grafik posisi–waktu, perbedaan GLB dan GLBB, plus contoh soal gerak lurus dan pembahasannya.","2026-10-14T16:01:44.924Z",{"id":1695,"subjectId":24,"levelId":60,"parentId":98,"slug":1696,"name":1697,"description":1698,"order":1674,"createdAt":1699,"updatedAt":1699},"demo-v2-topic-fisika-kuliah-1","gerak-harmonik-sederhana","Gerak Harmonik Sederhana","Gerak harmonik sederhana untuk fisika dasar: persamaan x = A cos(ωt + φ), kecepatan, percepatan, periode pegas dan bandul, energi, serta contoh soal.","2026-10-14T16:01:45.223Z",{"id":1701,"subjectId":24,"levelId":55,"parentId":98,"slug":1702,"name":1703,"description":1704,"order":1674,"createdAt":1705,"updatedAt":1705},"demo-v2-topic-fisika-sma-1","hukum-newton-2","Hukum Newton 2","Hukum Newton 2: bunyi, rumus ΣF = m·a, diagram gaya, gaya gesek statis dan kinetis, serta contoh soal mencari percepatan dan massa beserta pembahasan.","2026-10-14T16:01:45.084Z",{"id":1707,"subjectId":33,"levelId":60,"parentId":98,"slug":1708,"name":1709,"description":1710,"order":1674,"createdAt":1711,"updatedAt":1711},"demo-v2-topic-pemrograman-kuliah-1","notasi-big-o-kompleksitas-waktu","Notasi Big O","Pahami notasi Big O dan kompleksitas waktu algoritma: O(1), O(log n), O(n), O(n²), cara menghitungnya dari kode Python, dan contoh soalnya.","2026-10-14T16:01:45.769Z",{"id":1713,"subjectId":33,"levelId":43,"parentId":98,"slug":1714,"name":1715,"description":1716,"order":1674,"createdAt":1717,"updatedAt":1717},"demo-v2-topic-pemrograman-sd-1","pengertian-algoritma","Pengertian Algoritma","Algoritma adalah langkah-langkah urut untuk menyelesaikan masalah. Pelajari pengertian, ciri, dan contoh algoritma sehari-hari untuk siswa SD.","2026-10-14T16:01:45.355Z",{"id":1719,"subjectId":24,"levelId":43,"parentId":98,"slug":1720,"name":1721,"description":1722,"order":1674,"createdAt":1723,"updatedAt":1723},"demo-v2-topic-fisika-sd-1","pengukuran-panjang","Pengukuran Panjang","Belajar pengukuran panjang untuk SD: satuan baku, alat ukur panjang, cara memakai penggaris, dan tangga satuan panjang km sampai mm + contoh soal.","2026-10-14T16:01:44.803Z",{"id":1725,"subjectId":15,"levelId":43,"parentId":98,"slug":1726,"name":1727,"description":1728,"order":1674,"createdAt":1729,"updatedAt":1729},"demo-v2-topic-matematika-sd-1","penjumlahan-pecahan","Penjumlahan Pecahan","Cara penjumlahan pecahan berpenyebut sama dan beda penyebut memakai KPK, pecahan senilai, dan pecahan campuran, lengkap dengan contoh soal SD.","2026-10-14T16:01:44.034Z",{"id":1731,"subjectId":15,"levelId":49,"parentId":98,"slug":1732,"name":1733,"description":1734,"order":1674,"createdAt":1735,"updatedAt":1735},"demo-v2-topic-matematika-smp-1","teorema-pythagoras","Teorema Pythagoras","Teorema Pythagoras a² + b² = c² untuk mencari sisi miring dan sisi siku-siku, tripel Pythagoras, diagonal ruang balok, dan contoh soal kelas 8.","2026-10-14T16:01:44.305Z",{"id":1737,"subjectId":33,"levelId":49,"parentId":98,"slug":1738,"name":1739,"description":1740,"order":1674,"createdAt":1741,"updatedAt":1741},"demo-v2-topic-pemrograman-smp-1","variabel-dan-tipe-data-python","Variabel dan Tipe Data Python","Belajar variabel dan tipe data Python dari nol: int, float, string, boolean, operator, print, dan input, lengkap dengan contoh program dan latihan.","2026-10-14T16:01:45.472Z",{"id":1743,"subjectId":33,"levelId":60,"parentId":98,"slug":1744,"name":1745,"description":1746,"order":1747,"createdAt":1748,"updatedAt":1748},"demo-v2-topic-pemrograman-kuliah-2","class-dan-object-python","Class dan Object Python","Pelajari class dan object Python untuk OOP: __init__, self, atribut, method, inheritance, dan invarian objek lewat contoh program dompet digital.",101,"2026-10-14T16:01:45.800Z",{"id":1750,"subjectId":15,"levelId":55,"parentId":98,"slug":1751,"name":1752,"description":1753,"order":1747,"createdAt":1754,"updatedAt":1754},"demo-v2-topic-matematika-sma-2","eksponen-dan-logaritma","Eksponen dan Logaritma","Materi eksponen dan logaritma kelas 10: sifat-sifat eksponen, definisi dan sifat logaritma, persamaan eksponen dan logaritma, serta contoh soal.","2026-10-14T16:01:44.555Z",{"id":1756,"subjectId":24,"levelId":43,"parentId":98,"slug":1757,"name":1758,"description":1759,"order":1747,"createdAt":1760,"updatedAt":1760},"demo-v2-topic-fisika-sd-2","macam-macam-gaya","Gaya dan Macam-Macamnya","Gaya adalah tarikan atau dorongan. Pelajari macam-macam gaya (otot, gravitasi, magnet, gesek, pegas), pengaruhnya pada benda, dan contoh soalnya.","2026-10-14T16:01:44.840Z",{"id":1762,"subjectId":15,"levelId":43,"parentId":98,"slug":1763,"name":1764,"description":1765,"order":1747,"createdAt":1766,"updatedAt":1766},"demo-v2-topic-matematika-sd-2","rumus-keliling-dan-luas-bangun-datar","Keliling dan Luas Bangun Datar","Rumus keliling dan luas bangun datar: persegi, persegi panjang, segitiga, jajargenjang, trapesium, dan lingkaran, dengan cara mudah dan contoh soal.","2026-10-14T16:01:44.140Z",{"id":1768,"subjectId":33,"levelId":55,"parentId":98,"slug":1769,"name":1770,"description":1771,"order":1747,"createdAt":1772,"updatedAt":1772},"demo-v2-topic-pemrograman-sma-2","list-dan-dictionary-python","List dan Dictionary Python","Pahami list dan dictionary Python: indeks, append, key-value, get, dan perulangan, plus perbedaan keduanya lewat contoh pengolahan data nilai siswa.","2026-10-14T16:01:45.659Z",{"id":1774,"subjectId":24,"levelId":49,"parentId":98,"slug":1775,"name":1776,"description":1777,"order":1747,"createdAt":1778,"updatedAt":1778},"demo-v2-topic-fisika-smp-2","rumus-massa-jenis","Massa Jenis","Rumus massa jenis ρ = m\u002FV lengkap dengan satuan kg\u002Fm³ dan g\u002Fcm³, tabel massa jenis air, besi, dan minyak, cara menghitung, serta contoh soal pembahasan.","2026-10-14T16:01:44.967Z",{"id":1780,"subjectId":33,"levelId":49,"parentId":98,"slug":1781,"name":1782,"description":1783,"order":1747,"createdAt":1784,"updatedAt":1784},"demo-v2-topic-pemrograman-smp-2","percabangan-python-if-else","Percabangan Python","Pelajari percabangan Python dengan if, elif, dan else: operator perbandingan, operator logika, dan contoh program nilai rapor lengkap dengan outputnya.","2026-10-14T16:01:45.518Z",{"id":1786,"subjectId":33,"levelId":43,"parentId":98,"slug":1787,"name":1788,"description":1789,"order":1747,"createdAt":1790,"updatedAt":1790},"demo-v2-topic-pemrograman-sd-2","percabangan-dalam-algoritma","Percabangan dalam Algoritma","Percabangan dalam algoritma memilih tindakan berdasarkan syarat jika-maka. Pelajari pengertian, contoh sehari-hari, dan simbol flowchart-nya.","2026-10-14T16:01:45.408Z",{"id":1792,"subjectId":15,"levelId":49,"parentId":98,"slug":1793,"name":1794,"description":1795,"order":1747,"createdAt":1796,"updatedAt":1796},"demo-v2-topic-matematika-smp-2","persamaan-garis-lurus","Persamaan Garis Lurus","Persamaan garis lurus y = mx + c, rumus gradien dari dua titik, garis sejajar dan tegak lurus, cara menggambar grafik, serta contoh soal kelas 8.","2026-10-14T16:01:44.363Z",{"id":1798,"subjectId":24,"levelId":60,"parentId":98,"slug":1799,"name":1800,"description":1801,"order":1747,"createdAt":1802,"updatedAt":1802},"demo-v2-topic-fisika-kuliah-2","usaha-oleh-gaya-berubah","Usaha Gaya Berubah","Usaha oleh gaya berubah dengan integral W = ∫F dx, rumus usaha W = F·s sebagai dot product, usaha pegas, dan teorema usaha–energi, plus contoh soal.","2026-10-14T16:01:45.258Z",{"id":1804,"subjectId":15,"levelId":55,"parentId":98,"slug":1805,"name":1806,"description":1807,"order":1808,"createdAt":1809,"updatedAt":1809},"demo-v2-topic-matematika-sma-3","rumus-peluang","Peluang Kejadian","Rumus peluang P(A) = n(A)\u002Fn(S), ruang sampel, peluang komplemen, frekuensi harapan, kejadian saling lepas dan saling bebas, plus contoh soal dadu dan koin.",102,"2026-10-14T16:01:44.588Z",{"id":1811,"subjectId":33,"levelId":55,"parentId":98,"slug":1812,"name":1813,"description":1814,"order":1808,"createdAt":1815,"updatedAt":1815},"demo-v2-topic-pemrograman-sma-3","pencarian-linear-dan-biner","Pencarian Linear dan Biner","Pelajari pencarian linear dan pencarian biner (binary search): cara kerja, syarat data terurut, kode Python, dan perbandingan jumlah langkahnya.","2026-10-14T16:01:45.700Z",{"id":1817,"subjectId":33,"levelId":49,"parentId":98,"slug":1818,"name":1819,"description":1820,"order":1808,"createdAt":1821,"updatedAt":1821},"demo-v2-topic-pemrograman-smp-3","perulangan-python-for-while","Perulangan Python","Pelajari perulangan Python dengan for, range(), dan while, lengkap dengan contoh program menghitung total, break, continue, dan latihan soal.","2026-10-14T16:01:45.560Z",{"id":1823,"subjectId":33,"levelId":43,"parentId":98,"slug":1824,"name":1825,"description":1826,"order":1808,"createdAt":1827,"updatedAt":1827},"demo-v2-topic-pemrograman-sd-3","perulangan-dalam-algoritma","Perulangan dalam Algoritma","Perulangan dalam algoritma mengulang langkah yang sama beberapa kali. Pelajari pengertian, contoh perulangan sehari-hari, dan cara menghitung hasilnya.","2026-10-14T16:01:45.436Z",{"id":1829,"subjectId":15,"levelId":49,"parentId":98,"slug":1830,"name":1831,"description":1832,"order":1808,"createdAt":1833,"updatedAt":1833},"demo-v2-topic-matematika-smp-3","rumus-prisma-dan-limas","Prisma dan Limas","Rumus volume prisma dan limas, luas permukaan, sifat sisi-rusuk-titik sudut, jaring-jaring, limas 3D interaktif, dan contoh soal bangun ruang sisi datar.","2026-10-14T16:01:44.400Z",{"id":1835,"subjectId":33,"levelId":60,"parentId":98,"slug":1836,"name":1837,"description":1838,"order":1808,"createdAt":1839,"updatedAt":1839},"demo-v2-topic-pemrograman-kuliah-3","unit-test-python","Unit Test Python","Pelajari unit test Python dengan modul unittest: assertEqual, assertRaises, nilai batas, dan cara menjalankan tes, lengkap dengan contoh dan versi pytest.","2026-10-14T16:01:45.832Z",{"id":1841,"subjectId":15,"levelId":60,"parentId":98,"slug":1842,"name":1843,"description":1844,"order":1808,"createdAt":1845,"updatedAt":1845},"demo-v2-topic-matematika-kuliah-3","vektor-3-dimensi-dot-product","Vektor 3D dan Dot Product","Vektor 3 dimensi: komponen, panjang vektor, vektor satuan, dot product atau perkalian titik, sudut antara dua vektor, proyeksi, dan contoh soal.","2026-10-14T16:01:44.715Z",{"id":1847,"subjectId":15,"levelId":43,"parentId":98,"slug":1848,"name":1849,"description":1850,"order":1808,"createdAt":1851,"updatedAt":1851},"demo-v2-topic-matematika-sd-3","rumus-volume-kubus","Volume dan Luas Permukaan Kubus","Rumus volume kubus V = s³ dan luas permukaan kubus L = 6s², sifat kubus, jaring-jaring, kubus 3D interaktif, dan contoh soal bertingkat.","2026-10-14T16:01:44.189Z",{"id":1853,"subjectId":15,"levelId":49,"parentId":98,"slug":1854,"name":1855,"description":1856,"order":1857,"createdAt":1858,"updatedAt":1858},"demo-v2-topic-matematika-smp-4","rumus-tabung-dan-kerucut","Tabung dan Kerucut","Rumus volume tabung dan kerucut, luas permukaan, garis pelukis, jaring-jaring berupa persegi panjang dan juring, kerucut 3D interaktif, dan contoh soal.",103,"2026-10-14T16:01:44.438Z",{"id":1860,"subjectId":33,"levelId":55,"parentId":98,"slug":1861,"name":1862,"description":1863,"order":1857,"createdAt":1864,"updatedAt":1864},"demo-v2-topic-pemrograman-sma-4","try-except-python","Try Except dan Membaca File","Pelajari try except Python untuk menangani error seperti ValueError dan FileNotFoundError, serta cara membaca dan menulis file txt dengan with open.","2026-10-14T16:01:45.731Z",{"id":1866,"subjectId":15,"levelId":43,"parentId":98,"slug":1867,"name":1868,"description":1869,"order":1857,"createdAt":1870,"updatedAt":1870},"demo-v2-topic-matematika-sd-4","rumus-volume-balok","Volume dan Luas Permukaan Balok","Rumus volume balok V = p × l × t dan luas permukaan balok L = 2(pl + pt + lt), sifat balok, jaring-jaring, balok 3D interaktif, dan contoh soal.","2026-10-14T16:01:44.239Z",[1872,1875,1880,1885],{"id":1873,"slug":25,"name":26,"createdAt":1874},"cmvogd3r1000607tdh34zf0vv","2026-10-25T23:22:15.997Z",{"id":1876,"slug":1877,"name":1878,"createdAt":1879},"cmvogctp7000507tdmugcad1g","fisika-statistik","Fisika Statistik","2026-10-25T23:22:02.971Z",{"id":1881,"slug":1882,"name":1883,"createdAt":1884},"cmvhrhrvm00027m1risodrm04","onmipa","ONMIPA","2026-10-21T06:59:26.435Z",{"id":1886,"slug":1887,"name":1887,"createdAt":1888},"cmvhrhm2s00017m1rpjm53zrv","tag","2026-10-21T06:59:18.917Z",[1890],{"code":1891,"nativeName":1892,"isDefault":5},"id","Bahasa Indonesia",{"id":1894,"type":1895,"slug":1896,"title":1897,"excerpt":1898,"coverUrl":98,"status":1899,"publishedAt":1900,"featured":4,"subjectId":15,"blocks":1901,"seoTitle":98,"seoDescription":98,"readingMinutes":1425,"order":21,"hiddenFromOthers":4,"createdAt":2006,"updatedAt":2006,"subject":2007,"levels":2008,"topics":2011,"tags":2012,"lang":1891,"alternates":2013,"author":98,"resolved":2015,"related":2027,"sequence":98},"demo-v2-a-jaring-jaring-bangun-ruang","ARTICLE","jaring-jaring-bangun-ruang","Jaring-jaring Bangun Ruang: Kubus, Balok, Prisma, Limas, Tabung","Jaring-jaring bangun ruang: 11 jaring-jaring kubus dan cara mengeceknya, jaring balok, prisma segitiga, limas, tabung, kerucut, dan kaitannya dengan luas.","PUBLISHED","2026-10-14T16:01:44.781Z",[1902,1907,1914,1918,1922,1926,1931,1935,1941,1948,1952,1956,1960,1964,1968,1972,1976,1980,1986,1990,1994,1998,2002],{"id":1903,"data":1904,"type":1906},"s1-1",{"markdown":1905},"**Jaring-jaring bangun ruang** adalah rangkaian bangun datar yang diperoleh dengan menggunting beberapa rusuk sebuah bangun ruang, lalu merebahkan semua sisinya pada bidang datar. Jika dilipat kembali, jaring-jaring itu membentuk bangun ruang semula tanpa celah dan tanpa sisi yang bertumpuk. Contohnya, jaring-jaring kubus terdiri atas 6 persegi dan ada 11 bentuk yang berbeda, sedangkan jaring-jaring tabung terdiri atas 2 lingkaran dan 1 persegi panjang.","text",{"id":1908,"data":1909,"type":1913},"s1-2",{"title":1910,"variant":1911,"markdown":1912},"Luas jaring-jaring = luas permukaan","tip","Setiap sisi bangun ruang muncul tepat satu kali pada jaring-jaringnya. Karena itu, luas permukaan bangun ruang sama dengan jumlah luas semua bagian jaring-jaringnya.","callout",{"id":1915,"data":1916,"type":1906},"s2-1",{"markdown":1917},"## Apa Itu Jaring-jaring Bangun Ruang?\n\nBayangkan kotak kardus yang dibuka: beberapa rusuknya digunting, lalu kardus direbahkan sampai rata. Bentuk datar itulah jaring-jaring. Satu bangun ruang bisa mempunyai banyak jaring-jaring, tergantung rusuk mana yang digunting.\n\n| Bangun ruang | Bagian jaring-jaring |\n|---|---|\n| Kubus | 6 persegi kongruen |\n| Balok | 6 persegi panjang (3 pasang sama besar) |\n| Prisma segitiga | 2 segitiga + 3 persegi panjang |\n| Limas segi empat | 1 segi empat + 4 segitiga |\n| Tabung | 2 lingkaran + 1 persegi panjang |\n| Kerucut | 1 lingkaran + 1 juring lingkaran |\n\nBola tidak mempunyai jaring-jaring yang tepat, karena permukaannya tidak bisa dibentangkan rata tanpa disobek atau diregangkan.",{"id":1919,"data":1920,"type":1906},"s3-1",{"markdown":1921},"## Jaring-jaring Kubus: Ada 11 Bentuk\n\nJaring-jaring kubus terdiri atas 6 persegi yang sama besar. Jika bentuk yang hanya berbeda karena diputar atau dicerminkan dianggap sama, ada tepat **11 jaring-jaring kubus** yang berbeda. Kesebelas bentuk itu dapat dikelompokkan menurut susunan barisnya:\n\n| Pola baris | Ciri | Banyak bentuk |\n|---|---|---|\n| 1-4-1 | 4 persegi berderet, 1 persegi di atas deret dan 1 di bawahnya | 6 |\n| 2-3-1 | 3 persegi berderet; di satu sisi 2 persegi menempel di ujung deret dan menjorok ke luar, di sisi lain 1 persegi | 3 |\n| 2-2-2 | tiga pasang persegi membentuk tangga | 1 |\n| 3-3 | dua deret berisi 3 persegi yang bergeser | 1 |\n\nBerikut satu contoh dari setiap pola; setiap kotak hitam mewakili satu persegi. Pola 1-4-1 berbentuk salib:\n\n~~~text\n  ██\n████████\n  ██\n~~~\n\nPola 2-3-1:\n\n~~~text\n████\n  ██████\n    ██\n~~~\n\nPola 2-2-2 (tangga):\n\n~~~text\n████\n  ████\n    ████\n~~~\n\nPola 3-3:\n\n~~~text\n██████\n    ██████\n~~~\n\nPada pola 1-4-1, persegi atas dan persegi bawah boleh menempel pada persegi mana pun dalam deret. Setelah bentuk yang sama karena diputar atau dicerminkan disatukan, tersisa 6 bentuk.",{"id":1923,"data":1924,"type":1906},"s4-1",{"markdown":1925},"## Cara Mengecek Jaring-jaring Kubus yang Benar\n\nTidak semua susunan 6 persegi bisa dilipat menjadi kubus. Gunakan pemeriksaan berikut.",{"id":1927,"data":1928,"type":1913},"s4-2",{"title":1929,"variant":1911,"markdown":1930},"Lima langkah mengecek jaring-jaring kubus","1. Pastikan ada tepat 6 persegi yang tersambung rusuk ke rusuk, bukan hanya bersentuhan di pojok.\n2. Tidak boleh ada 4 persegi yang membentuk persegi besar 2 × 2. Pada kubus hanya 3 sisi yang bertemu di satu titik sudut, jadi empat persegi di sekeliling satu titik pasti bertumpuk.\n3. Tidak boleh ada 5 persegi atau lebih dalam satu deret lurus. Empat persegi berderet sudah melingkari kubus satu putaran, sehingga persegi kelima menumpuk di atas persegi pertama.\n4. Jika ada 4 persegi berderet, dua persegi sisanya harus menempel langsung pada deret itu, satu di sisi atas dan satu di sisi bawah. Jika keduanya di sisi yang sama, keduanya berebut posisi tutup.\n5. Tandai sisi berhadapan: dua persegi dalam satu deret lurus yang diselingi tepat satu persegi akan menjadi sisi yang berhadapan. Jika satu persegi mendapat dua \"lawan\" yang berbeda, susunan itu gagal.",{"id":1932,"data":1933,"type":1906},"s4-3",{"markdown":1934},"Contoh susunan yang gagal: empat persegi berderet dengan dua persegi tambahan sama-sama di atas deret. Saat dilipat, kedua persegi tambahan menjadi tutup dan saling menumpuk, sedangkan alas kubus tetap terbuka.\n\n~~~text\n██  ██\n████████\n~~~\n\nJika masih ragu, gambar susunan itu di kertas berpetak, gunting, lalu lipat. Kamu juga bisa mengamati [kubus 3D interaktif](\u002Finteraktif\u002Fkubus-3d-interaktif) yang terbuka menjadi jaring-jaring, seperti visual di bawah.",{"id":1936,"data":1937,"type":1913},"visual-guide",{"title":1938,"variant":1939,"markdown":1940},"Eksplorasi visual","info","- Tekan **Jaring-jaring**, lalu geser **Buka jaring** pelan-pelan dari 0 % ke 100 % dan hitung perseginya: harus tepat enam.\n- Arahkan kursor ke salah satu sisi, lalu cari sisi yang berhadapan dengannya. Pada jaring-jaring, apakah keduanya bersebelahan atau diselingi satu persegi?\n- Geser **Sisi** ke 5 dan cocokkan luas permukaan di panel info dengan luas jaring-jaring $6\\times5^2=150$.",{"id":1942,"data":1943,"type":1947},"visual",{"height":1944,"assetId":1945,"caption":1946},520,"demo-v2-asset-cube","Kubus 3D interaktif dan jaring-jaringnya","interactive",{"id":1949,"data":1950,"type":1906},"s5-1",{"markdown":1951},"## Eksplorasi Visual: Kubus Terbuka Menjadi Jaring-jaring\n\nVisual kubus di atas membuka diri menjadi jaring-jaring berbentuk salib, yaitu pola 1-4-1. Setiap persegi berputar pada satu rusuk yang menjadi engsel. Enam persegi cukup disambung oleh 5 engsel, jadi dari 12 rusuk kubus ada $12-5=7$ rusuk yang digunting, pada jaring-jaring kubus mana pun.\n\nDengan ukuran awal rusuk 4 satuan, setiap persegi seluas 16 satuan², dan luas jaring-jaringnya $6\\times16=96$ satuan², sama dengan luas permukaan kubus $6s^2$.",{"id":1953,"data":1954,"type":1906},"s6-1",{"markdown":1955},"## Jaring-jaring Balok\n\n**Jaring-jaring balok** terdiri atas 6 persegi panjang yang berpasangan: 2 berukuran $p\\times l$ (atas dan bawah), 2 berukuran $p\\times t$ (depan dan belakang), dan 2 berukuran $l\\times t$ (kiri dan kanan). Susunannya mirip jaring-jaring kubus, misalnya bentuk salib, tetapi karena ukurannya tidak semua sama, rusuk-rusuk yang akan bertemu saat dilipat harus sama panjang. Luas jaring-jaringnya adalah $2(pl+pt+lt)$. Ubah ukurannya pada [balok 3D interaktif](\u002Finteraktif\u002Fbalok-3d-interaktif) dan amati setiap persegi panjang ikut berubah.",{"id":1957,"data":1958,"type":1906},"s7-1",{"markdown":1959},"## Jaring-jaring Prisma Segitiga\n\n**Jaring-jaring prisma segitiga** terdiri atas 2 segitiga kongruen (alas dan tutup) dan 3 persegi panjang (sisi tegak). Bentuk yang paling umum adalah 3 persegi panjang berjajar dengan satu segitiga menempel di atas dan satu di bawah. Lebar ketiga persegi panjang sama dengan panjang sisi-sisi segitiga $a$, $b$, dan $c$, sedangkan panjangnya sama dengan tinggi prisma $t$. Jadi luas ketiga sisi tegak adalah $(a+b+c)\\times t$, yaitu keliling alas × tinggi. Lihat jaring-jaringnya terbuka pada [prisma segitiga 3D interaktif](\u002Finteraktif\u002Fprisma-segitiga-3d-interaktif).",{"id":1961,"data":1962,"type":1906},"s8-1",{"markdown":1963},"## Jaring-jaring Limas Segi Empat\n\n**Jaring-jaring limas segi empat** terdiri atas 1 segi empat sebagai alas dan 4 segitiga yang menempel pada setiap sisi alas, sehingga bentuknya mirip bintang berkaki empat. Pada limas beraturan, alasnya persegi bersisi $s$ dan keempat segitiganya sama kaki serta kongruen. Tinggi segitiga sisi tegak dicari dengan [teorema Pythagoras](\u002Fmateri\u002Fteorema-pythagoras): $t_{\\text{sisi}}=\\sqrt{t^2+\\left(\\frac s2\\right)^2}$, dengan $t$ tinggi limas. Luas jaring-jaringnya $s^2+4\\times\\frac12\\times s\\times t_{\\text{sisi}}$. Amati keempat segitiga merebah keluar pada [limas segi empat 3D interaktif](\u002Finteraktif\u002Flimas-segi-empat-3d-interaktif).",{"id":1965,"data":1966,"type":1906},"s9-1",{"markdown":1967},"## Jaring-jaring Tabung\n\n**Jaring-jaring tabung** terdiri atas 2 lingkaran berjari-jari $r$ dan 1 persegi panjang, yaitu selimut yang dibuka. Panjangnya sama dengan **keliling alas** $2\\pi r$, karena selimut melingkari tepi alas tepat satu putaran, dan lebarnya sama dengan tinggi tabung $t$. Kedua lingkaran menempel pada sisi panjang persegi panjang, satu di atas dan satu di bawah. Luas jaring-jaringnya $2\\pi r^2+2\\pi rt$. Geser jari-jari pada [tabung 3D interaktif](\u002Finteraktif\u002Ftabung-3d-interaktif) dan perhatikan persegi panjangnya ikut memanjang.",{"id":1969,"data":1970,"type":1906},"s10-1",{"markdown":1971},"## Jaring-jaring Kerucut\n\n**Jaring-jaring kerucut** terdiri atas 1 lingkaran alas berjari-jari $r$ dan 1 **juring** lingkaran berjari-jari $s$, yaitu garis pelukis. Panjang busur juring sama dengan keliling alas $2\\pi r$. Karena busur juring bersudut $\\theta$ adalah $\\frac{\\theta}{360^\\circ}\\times2\\pi s$:\n\n$$\\frac{\\theta}{360^\\circ}\\times2\\pi s=2\\pi r\\quad\\Longrightarrow\\quad\\theta=360^\\circ\\times\\frac rs$$\n\nLuas juring itu $\\frac{\\theta}{360^\\circ}\\times\\pi s^2=\\frac rs\\times\\pi s^2=\\pi rs$, tepat rumus luas selimut kerucut. Contohnya, kerucut dengan $r=3$ dan $t=4$ mempunyai $s=5$, sehingga sudut juringnya $360^\\circ\\times\\frac35=216^\\circ$. Karena $r$ selalu lebih kecil dari $s$, sudut juring selalu kurang dari $360^\\circ$. Pada ukuran awal [kerucut 3D interaktif](\u002Finteraktif\u002Fkerucut-3d-interaktif) ($r=2$, $t=4$), $s\\approx4{,}47$ dan sudut juringnya sekitar $161^\\circ$.",{"id":1973,"data":1974,"type":1906},"s11-1",{"markdown":1975},"## Contoh Soal Jaring-jaring Bangun Ruang\n\n### Contoh 1: Karton untuk jaring-jaring kubus\n\nRina membuat kubus dari karton dengan rusuk 7 cm. Berapa luas karton pada jaring-jaringnya, tanpa lidah lem?\n\n1. Luas satu persegi $=7\\times7=49\\text{ cm}^2$.\n2. Luas jaring-jaring $=6\\times49=294\\text{ cm}^2$.\n3. Cek: luas permukaan kubus $6s^2=6\\times7^2=294\\text{ cm}^2$. Cocok.\n\n### Contoh 2: Jaring-jaring kotak tisu\n\nKotak tisu berbentuk balok berukuran 24 cm × 12 cm × 9 cm. Berapa luas jaring-jaringnya?\n\n1. Tiga pasang persegi panjang, dalam cm²: $24\\times12=288$ (atas, bawah), $24\\times9=216$ (depan, belakang), dan $12\\times9=108$ (kiri, kanan).\n2. Luas $=2(288+216+108)=2\\times612=1.224\\text{ cm}^2$.\n3. Cek: keenam persegi panjang dijumlahkan satu per satu, $288+288+216+216+108+108=1.224$.\n\n### Contoh 3: Kain tenda berbentuk prisma segitiga\n\nTenda berbentuk prisma segitiga yang berdiri pada salah satu sisi persegi panjangnya. Bagian depan dan belakangnya segitiga sama kaki dengan alas 1,6 m, tinggi 1,5 m, dan dua sisi miring 1,7 m. Panjang tenda 3 m. Berapa luas kain jika lantai tidak ikut dibuat?\n\n1. Dari jaring-jaring prisma (2 segitiga dan 3 persegi panjang), persegi panjang lantai tidak dipakai.\n2. Dua segitiga: $2\\times\\frac12\\times1{,}6\\times1{,}5=2{,}4\\text{ m}^2$.\n3. Dua persegi panjang atap: $2\\times1{,}7\\times3=10{,}2\\text{ m}^2$.\n4. Luas kain $=2{,}4+10{,}2=12{,}6\\text{ m}^2$.\n5. Cek sisi miring dengan Pythagoras: $\\sqrt{0{,}8^2+1{,}5^2}=\\sqrt{0{,}64+2{,}25}=\\sqrt{2{,}89}=1{,}7$ m. Cocok.\n\n### Contoh 4: Jaring-jaring kaleng tabung\n\nKaleng berbentuk tabung berjari-jari 7 cm dan tinggi 12 cm. Tentukan ukuran persegi panjang pada jaring-jaringnya dan luas seluruh jaring-jaring dengan $\\pi=\\frac{22}7$.\n\n1. Panjang persegi panjang $=2\\pi r=2\\times\\frac{22}7\\times7=44$ cm, lebarnya 12 cm.\n2. Luas persegi panjang $=44\\times12=528\\text{ cm}^2$.\n3. Luas dua lingkaran $=2\\times\\frac{22}7\\times7\\times7=2\\times154=308\\text{ cm}^2$.\n4. Luas jaring-jaring $=528+308=836\\text{ cm}^2$.\n5. Cek dengan rumus $2\\pi r(r+t)=44\\times19=836$. Cocok.\n\n### Contoh 5: Juring untuk topi ulang tahun\n\nTopi ulang tahun berbentuk kerucut tanpa alas dengan jari-jari 7 cm dan tinggi 24 cm. Tentukan jari-jari dan sudut juring karton, serta luasnya dengan $\\pi=\\frac{22}7$.\n\n1. Jari-jari juring adalah garis pelukis: $s=\\sqrt{7^2+24^2}=\\sqrt{49+576}=\\sqrt{625}=25$ cm.\n2. Sudut juring $\\theta=360^\\circ\\times\\frac7{25}=100{,}8^\\circ$.\n3. Luas juring $=\\pi rs=\\frac{22}7\\times7\\times25=550\\text{ cm}^2$.\n4. Cek dengan rumus luas juring: $\\frac{100{,}8}{360}\\times\\frac{22}7\\times25^2=0{,}28\\times\\frac{22}7\\times625=550$. Cocok.",{"id":1977,"data":1978,"type":1906},"s12-1",{"markdown":1979},"## Kesalahan yang Sering Terjadi",{"id":1981,"data":1982,"type":1913},"s12-2",{"title":1983,"variant":1984,"markdown":1985},"Panjang persegi panjang pada jaring-jaring tabung adalah keliling","warning","Persegi panjang pada jaring-jaring tabung panjangnya $2\\pi r$, bukan diameter. Untuk $r=7$ cm, panjangnya 44 cm, bukan 14 cm.",{"id":1987,"data":1988,"type":1906},"s12-3",{"markdown":1989},"- Menganggap setiap susunan 6 persegi adalah jaring-jaring kubus tanpa memeriksanya dengan lima langkah di atas.\n- Memakai tinggi kerucut $t$ sebagai jari-jari juring, padahal jari-jari juring adalah garis pelukis $s$.\n- Menggambar juring kerucut selalu setengah lingkaran. Sudutnya bergantung pada $\\frac rs$.\n- Pada jaring-jaring balok, menyambung dua persegi panjang yang rusuk pertemuannya tidak sama panjang.",{"id":1991,"data":1992,"type":1906},"s13-1",{"markdown":1993},"## Ringkasan\n\n- Jaring-jaring adalah semua sisi bangun ruang yang direbahkan; luasnya sama dengan luas permukaan.\n- Kubus: 6 persegi dengan 11 bentuk (6 pola 1-4-1, 3 pola 2-3-1, 1 pola 2-2-2, 1 pola 3-3).\n- Balok: 3 pasang persegi panjang. Prisma segitiga: 2 segitiga + 3 persegi panjang. Limas segi empat: 1 segi empat + 4 segitiga.\n- Tabung: 2 lingkaran + persegi panjang $2\\pi r\\times t$. Kerucut: lingkaran + juring berjari-jari $s$ dengan sudut $360^\\circ\\times\\frac rs$.",{"id":1995,"data":1996,"type":1906},"s14-1",{"markdown":1997},"## Pertanyaan yang Sering Diajukan\n\n### Ada berapa jaring-jaring kubus?\n\nAda 11 jaring-jaring kubus yang berbeda, jika bentuk hasil pemutaran atau pencerminan dianggap sama. Enam di antaranya berpola 1-4-1, tiga berpola 2-3-1, satu berpola 2-2-2, dan satu berpola 3-3.\n\n### Bagaimana bentuk jaring-jaring tabung?\n\nJaring-jaring tabung terdiri atas 2 lingkaran yang sama besar dan 1 persegi panjang. Panjang persegi panjang sama dengan keliling alas $2\\pi r$, dan lebarnya sama dengan tinggi tabung.\n\n### Bagaimana menentukan sudut juring pada jaring-jaring kerucut?\n\nGunakan $\\theta=360^\\circ\\times\\frac rs$, dengan $r$ jari-jari alas dan $s$ garis pelukis. Kerucut dengan $r=3$ dan $s=5$ mempunyai juring bersudut $216^\\circ$.\n\n### Apakah bola mempunyai jaring-jaring?\n\nTidak. Permukaan bola melengkung ke dua arah, sehingga tidak bisa dibentangkan rata tanpa disobek atau diregangkan. Selimut tabung dan kerucut hanya melengkung ke satu arah, jadi bisa dibuka menjadi bangun datar.",{"id":1999,"data":2000,"type":1906},"s15-1",{"markdown":2001},"## Materi Terkait\n\n- [Rumus volume kubus](\u002Fmateri\u002Frumus-volume-kubus): sifat kubus, luas permukaan, dan volume.\n- [Rumus volume balok](\u002Fmateri\u002Frumus-volume-balok): luas permukaan $2(pl+pt+lt)$ dan volume balok.\n- [Rumus prisma dan limas](\u002Fmateri\u002Frumus-prisma-dan-limas): bangun ruang sisi datar.\n- [Rumus tabung dan kerucut](\u002Fmateri\u002Frumus-tabung-dan-kerucut): selimut, juring, dan garis pelukis.\n- [Latihan soal kubus](\u002Flatihan\u002Flatihan-soal-rumus-volume-kubus): soal kubus dengan pembahasan.\n- [Semua visual interaktif](\u002Finteraktif): bangun ruang yang bisa diputar dan dibuka.\n- [Rumus bangun ruang lengkap](\u002Fartikel\u002Frumus-bangun-ruang): tabel volume dan luas permukaan tujuh bangun ruang, termasuk bola.\n- [Tryout matematika SD](\u002Ftryout\u002Ftryout-matematika-sd): uji campuran materi SD, termasuk kubus dan balok.",{"id":2003,"data":2004,"type":1906},"sources",{"markdown":2005},"## Sumber belajar\n\n- [Wikipedia bahasa Indonesia — Jaring (polihedron)](https:\u002F\u002Fid.wikipedia.org\u002Fwiki\u002FJaring_(polihedron))\n- [Wolfram MathWorld — Cube (11 distinct nets)](https:\u002F\u002Fmathworld.wolfram.com\u002FCube.html)\n- [OpenStax Prealgebra 2e — Solve Geometry Applications: Volume and Surface Area](https:\u002F\u002Fopenstax.org\u002Fbooks\u002Fprealgebra-2e\u002Fpages\u002F9-6-solve-geometry-applications-volume-and-surface-area)\n- [Wikipedia bahasa Indonesia — Kubus](https:\u002F\u002Fid.wikipedia.org\u002Fwiki\u002FKubus)\n\nPenjelasan dan contoh disusun ulang untuk materi ini; sumber dapat dibuka untuk belajar lebih lanjut.","2026-10-14T16:01:44.783Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2009,2010],{"id":43,"slug":44,"name":45},{"id":49,"slug":50,"name":51},[],[],[2014],{"lang":1891,"slug":1896},{"assets":2016,"videos":2025,"questionSets":2026},{"demo-v2-asset-cube":2017},{"id":1945,"slug":2018,"kind":2019,"title":1946,"description":2020,"url":98,"posterUrl":98,"config":2021,"subject":2024},"kubus-3d-interaktif","GEOMETRY_3D","Putar kubus, tampilkan label titik sudut dan tanda sudut siku-siku, hitung 6 sisi, 12 rusuk, 8 titik sudut, lalu buka menjadi jaring-jaring.",{"shape":2022,"width":64,"height":64,"length":1116,"radius":39,"vector":2023,"allowNet":5,"editable":5,"showAngles":5,"showLabels":5},"cube",[30,39,39],{"id":15,"slug":16,"name":17,"color":20},{},{},[2028,2048,2062,2075],{"id":2029,"type":1895,"slug":2030,"title":2031,"excerpt":2032,"coverUrl":98,"status":1899,"publishedAt":2033,"featured":4,"readingMinutes":1403,"order":21,"updatedAt":2034,"subject":2035,"levels":2036,"topics":2039,"tags":2042,"author":2043},"cmvxe4god001r07scxrwi3yjn","hipotesis-riemann-kuasi-bilangan-prima-ai-2026","Hipotesis Riemann dan Bilangan Prima: Terobosan AI 2026","Apa itu hipotesis Riemann dan versi kuasi yang dibuktikan AI OpenAI pada 2026? Penjelasan bilangan prima, fungsi zeta, dan pita kritis dengan contoh.","2026-11-01T05:35:03.077Z","2026-11-01T05:35:03.083Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2037,2038],{"id":55,"slug":56,"name":57},{"id":60,"slug":61,"name":62},[2040,2041],{"id":164,"slug":166,"name":167,"subjectId":15},{"id":449,"slug":450,"name":451,"subjectId":15},[],{"name":2044,"slug":2045,"photoUrl":2046,"profession":2047},"Risyad Raflan","risyad-raflan","https:\u002F\u002Fmyfismat.com\u002Fuploads\u002F3f3eca84-9800-4c5f-97ed-1dec08f03152.jpg","Mahasiswa Jurusan Sistem Informasi",{"id":2049,"type":1895,"slug":2050,"title":2051,"excerpt":2052,"coverUrl":98,"status":1899,"publishedAt":2053,"featured":4,"readingMinutes":1414,"order":21,"updatedAt":2054,"subject":2055,"levels":2056,"topics":2059,"tags":2060,"author":2061},"cmvry76fb000c07s28zwl0iv1","matematika-pace-lari-rekor-maraton-sub-2-jam","Matematika di Balik Pace Lari dan Rekor Maraton Sub-2 Jam","Kenapa pace 6:00\u002Fkm sama dengan 10 km\u002Fjam? Bedah matematika dan fisika lari: rumus pace, prediksi Riegel, hambatan udara, dan kode Python-nya.","2026-10-28T10:09:04.009Z","2026-11-03T14:36:19.665Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2057,2058],{"id":49,"slug":50,"name":51},{"id":55,"slug":56,"name":57},[],[],{"name":2044,"slug":2045,"photoUrl":2046,"profession":2047},{"id":2063,"type":1895,"slug":2064,"title":2065,"excerpt":2066,"coverUrl":98,"status":1899,"publishedAt":2067,"featured":4,"readingMinutes":1414,"order":21,"updatedAt":2068,"subject":2069,"levels":2070,"topics":2073,"tags":2074,"author":98},"demo-v2-a-rumus-bangun-ruang","rumus-bangun-ruang","Rumus Bangun Ruang Lengkap: Volume dan Luas Permukaan + Contoh","Rumus bangun ruang lengkap: volume dan luas permukaan kubus, balok, prisma, limas, tabung, kerucut, dan bola dalam satu tabel, plus konversi liter.","2026-10-14T16:01:44.770Z","2026-10-14T16:01:44.772Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2071,2072],{"id":43,"slug":44,"name":45},{"id":49,"slug":50,"name":51},[],[],{"id":2076,"type":1895,"slug":2077,"title":2078,"excerpt":2079,"coverUrl":98,"status":1899,"publishedAt":2080,"featured":5,"readingMinutes":1377,"order":21,"updatedAt":2081,"subject":2082,"levels":2083,"topics":2088,"tags":2089,"author":98},"demo-v2-a-matematika","cara-belajar-matematika-dari-nol","Cara Belajar Matematika dari Nol: Urutan Materi SD–Kuliah","Cara belajar matematika dari nol: urutan materi dari pecahan, bangun ruang, aljabar, hingga kalkulus, kebiasaan belajar efektif, dan rencana 4 minggu.","2026-10-14T16:01:44.759Z","2026-10-14T16:01:44.762Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2084,2085,2086,2087],{"id":43,"slug":44,"name":45},{"id":49,"slug":50,"name":51},{"id":55,"slug":56,"name":57},{"id":60,"slug":61,"name":62},[],[],[]]