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Wajib.","2026-10-08T09:24:41.433Z",{"id":296,"subjectId":14,"levelId":54,"parentId":97,"slug":1454,"name":1455,"description":1456,"order":1457,"createdAt":1458,"updatedAt":1458},"matriks","Matriks","Matriks — Kelas 11 Lanjut.",13,"2026-10-08T09:24:41.441Z",{"id":1460,"subjectId":23,"levelId":54,"parentId":97,"slug":1461,"name":1462,"description":1463,"order":1457,"createdAt":1464,"updatedAt":1464},"cmuzbyhhz003k71r9s7s8evk1","rangkaian-pegas","Rangkaian Pegas","Rangkaian Pegas — Kelas 11.","2026-10-08T09:24:41.111Z",{"id":158,"subjectId":23,"levelId":54,"parentId":97,"slug":1466,"name":1467,"description":1468,"order":1469,"createdAt":1470,"updatedAt":1470},"fluida","Fluida","Fluida — Kelas 11.",14,"2026-10-08T09:24:41.113Z",{"id":272,"subjectId":14,"levelId":54,"parentId":97,"slug":1472,"name":1473,"description":1474,"order":1469,"createdAt":1475,"updatedAt":1475},"polinomial","Polinomial","Polinomial — Kelas 11 Lanjut.","2026-10-08T09:24:41.454Z",{"id":188,"subjectId":14,"levelId":54,"parentId":97,"slug":1477,"name":1478,"description":1479,"order":1480,"createdAt":1481,"updatedAt":1481},"fungsi-trigonometri","Fungsi Trigonometri","Fungsi Trigonometri — Kelas 11 Lanjut.",15,"2026-10-08T09:24:41.469Z",{"id":182,"subjectId":23,"levelId":54,"parentId":97,"slug":1483,"name":1484,"description":1485,"order":1480,"createdAt":1486,"updatedAt":1486},"gerak-harmonik-sederhana-ghs","Gerak Harmonik Sederhana (GHS)","Gerak Harmonik Sederhana (GHS) — Kelas 11.","2026-10-08T09:24:41.119Z",{"id":212,"subjectId":23,"levelId":54,"parentId":97,"slug":1488,"name":1489,"description":1490,"order":1491,"createdAt":1492,"updatedAt":1492},"gelombang-mekanik","Gelombang Mekanik","Gelombang Mekanik — Kelas 11.",16,"2026-10-08T09:24:41.132Z",{"id":278,"subjectId":14,"levelId":54,"parentId":97,"slug":1247,"name":1248,"description":1494,"order":1491,"createdAt":1495,"updatedAt":1495},"Vektor — Kelas 11 Lanjut.","2026-10-08T09:24:41.485Z",{"id":134,"subjectId":23,"levelId":54,"parentId":97,"slug":1497,"name":1498,"description":1499,"order":1500,"createdAt":1501,"updatedAt":1501},"gelombang-cahaya","Gelombang Cahaya","Gelombang Cahaya — Kelas 11.",17,"2026-10-08T09:24:41.150Z",{"id":218,"subjectId":14,"levelId":54,"parentId":97,"slug":1503,"name":1504,"description":1505,"order":1500,"createdAt":1506,"updatedAt":1506},"transformasi-geometri","Transformasi Geometri","Transformasi Geometri — Kelas 11 Lanjut.","2026-10-08T09:24:41.498Z",{"id":164,"subjectId":14,"levelId":54,"parentId":97,"slug":1508,"name":1509,"description":1510,"order":1511,"createdAt":1512,"updatedAt":1512},"fungsi-dan-pemodelannya","Fungsi dan Pemodelannya","Fungsi dan Pemodelannya — Kelas 11 Lanjut.",18,"2026-10-08T09:24:41.504Z",{"id":200,"subjectId":23,"levelId":54,"parentId":97,"slug":1514,"name":1515,"description":1516,"order":1511,"createdAt":1517,"updatedAt":1517},"optik","Optik","Optik — Kelas 11.","2026-10-08T09:24:41.161Z",{"id":74,"subjectId":14,"levelId":54,"parentId":97,"slug":1519,"name":82,"description":1520,"order":1521,"createdAt":1522,"updatedAt":1522},"barisan-dan-deret-kelas-12-wajib","Barisan dan Deret — Kelas 12 Wajib.",19,"2026-10-08T09:24:41.512Z",{"id":373,"subjectId":23,"levelId":54,"parentId":97,"slug":1524,"name":1525,"description":1526,"order":1521,"createdAt":1527,"updatedAt":1527},"suhu-dan-kalor","Suhu dan Kalor","Suhu dan Kalor — Kelas 11.","2026-10-08T09:24:41.169Z",{"id":104,"subjectId":14,"levelId":54,"parentId":97,"slug":1529,"name":1530,"description":1531,"order":1532,"createdAt":1533,"updatedAt":1533},"bunga","Bunga","Bunga — Kelas 12 Wajib.",20,"2026-10-08T09:24:41.518Z",{"id":170,"subjectId":23,"levelId":54,"parentId":97,"slug":1535,"name":1536,"description":1537,"order":1532,"createdAt":1538,"updatedAt":1538},"teori-kinetik-gas","Teori Kinetik Gas","Teori Kinetik Gas — Kelas 11.","2026-10-08T09:24:41.188Z",{"id":379,"subjectId":14,"levelId":54,"parentId":97,"slug":1540,"name":1541,"description":1542,"order":1543,"createdAt":1544,"updatedAt":1544},"investasi-dan-pinjaman","Investasi dan Pinjaman","Investasi dan Pinjaman — Kelas 12 Wajib.",21,"2026-10-08T09:24:41.525Z",{"id":397,"subjectId":23,"levelId":54,"parentId":97,"slug":1546,"name":1547,"description":1548,"order":1543,"createdAt":1549,"updatedAt":1549},"termodinamika","Termodinamika","Termodinamika — Kelas 11.","2026-10-08T09:24:41.202Z",{"id":325,"subjectId":14,"levelId":54,"parentId":97,"slug":1551,"name":1552,"description":1553,"order":1554,"createdAt":1555,"updatedAt":1555},"kaidah-pencacahan","Kaidah Pencacahan","Kaidah Pencacahan — Kelas 12 Wajib.",22,"2026-10-08T09:24:41.540Z",{"id":266,"subjectId":23,"levelId":54,"parentId":97,"slug":1557,"name":1558,"description":1559,"order":1554,"createdAt":1560,"updatedAt":1560},"listrik-statis","Listrik Statis","Listrik Statis — Kelas 12.","2026-10-08T09:24:41.215Z",{"id":236,"subjectId":23,"levelId":54,"parentId":97,"slug":1562,"name":1563,"description":1564,"order":1565,"createdAt":1566,"updatedAt":1566},"listrik-arus-searah","Listrik Arus Searah","Listrik Arus Searah — Kelas 12.",23,"2026-10-08T09:24:41.227Z",{"id":284,"subjectId":14,"levelId":54,"parentId":97,"slug":1568,"name":1417,"description":1569,"order":1565,"createdAt":1570,"updatedAt":1570},"peluang-kelas-12-wajib","Peluang — Kelas 12 Wajib.","2026-10-08T09:24:41.547Z",{"id":248,"subjectId":14,"levelId":54,"parentId":97,"slug":1572,"name":1573,"description":1574,"order":1575,"createdAt":1576,"updatedAt":1576},"geometri-analitik","Geometri Analitik","Geometri Analitik — Kelas 12 Lanjut.",24,"2026-10-08T09:24:41.553Z",{"id":242,"subjectId":23,"levelId":54,"parentId":97,"slug":1578,"name":1579,"description":1580,"order":1575,"createdAt":1581,"updatedAt":1581},"kemagnetan","Kemagnetan","Kemagnetan — Kelas 12.","2026-10-08T09:24:41.245Z",{"id":116,"subjectId":14,"levelId":54,"parentId":97,"slug":1583,"name":1584,"description":1585,"order":1586,"createdAt":1587,"updatedAt":1587},"limit","Limit","Limit — Kelas 12 Lanjut.",25,"2026-10-08T09:24:41.562Z",{"id":67,"subjectId":23,"levelId":54,"parentId":97,"slug":1589,"name":1590,"description":1591,"order":1586,"createdAt":1592,"updatedAt":1592},"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":307,"subjectId":23,"levelId":54,"parentId":97,"slug":1594,"name":1595,"description":1596,"order":1597,"createdAt":1598,"updatedAt":1598},"gelombang-elektromagnetik","Gelombang Elektromagnetik","Gelombang Elektromagnetik — Kelas 12.",26,"2026-10-08T09:24:41.273Z",{"id":122,"subjectId":14,"levelId":54,"parentId":97,"slug":1600,"name":1601,"description":1602,"order":1597,"createdAt":1603,"updatedAt":1603},"turunan-fungsi","Turunan Fungsi","Turunan Fungsi — Kelas 12 Lanjut.","2026-10-08T09:24:41.575Z",{"id":331,"subjectId":14,"levelId":54,"parentId":97,"slug":1605,"name":1606,"description":1607,"order":1608,"createdAt":1609,"updatedAt":1609},"aplikasi-turunan","Aplikasi Turunan","Aplikasi Turunan — Kelas 12 Lanjut.",27,"2026-10-08T09:24:41.587Z",{"id":361,"subjectId":23,"levelId":54,"parentId":97,"slug":1611,"name":1612,"description":1613,"order":1608,"createdAt":1614,"updatedAt":1614},"pengantar-instrumental-digital","Pengantar Instrumental Digital","Pengantar Instrumental Digital — Kelas 12.","2026-10-08T09:24:41.283Z",{"id":206,"subjectId":14,"levelId":54,"parentId":97,"slug":1616,"name":1617,"description":1618,"order":1619,"createdAt":1620,"updatedAt":1620},"integral","Integral","Integral — Kelas 12 Lanjut.",28,"2026-10-08T09:24:41.599Z",{"id":349,"subjectId":23,"levelId":54,"parentId":97,"slug":1622,"name":1623,"description":1624,"order":1619,"createdAt":1625,"updatedAt":1625},"relativitas-khusus","Relativitas Khusus","Relativitas Khusus — Kelas 12.","2026-10-08T09:24:41.291Z",{"id":355,"subjectId":23,"levelId":54,"parentId":97,"slug":1627,"name":1628,"description":1629,"order":1630,"createdAt":1631,"updatedAt":1631},"gejala-kuantum","Gejala Kuantum","Gejala Kuantum — Kelas 12.",29,"2026-10-08T09:24:41.303Z",{"id":254,"subjectId":14,"levelId":54,"parentId":97,"slug":1633,"name":1634,"description":1635,"order":1630,"createdAt":1636,"updatedAt":1636},"penerapan-integral","Penerapan Integral","Penerapan Integral — Kelas 12 Lanjut.","2026-10-08T09:24:41.607Z",{"id":146,"subjectId":14,"levelId":54,"parentId":97,"slug":1638,"name":1639,"description":1640,"order":1641,"createdAt":1642,"updatedAt":1642},"analisis-data-peluang","Analisis Data & Peluang","Analisis Data & Peluang — Kelas 12 Lanjut.",30,"2026-10-08T09:24:41.611Z",{"id":290,"subjectId":23,"levelId":54,"parentId":97,"slug":1644,"name":1645,"description":1646,"order":1641,"createdAt":1647,"updatedAt":1647},"fisika-inti-dan-radioaktivitas","Fisika Inti dan Radioaktivitas","Fisika Inti dan Radioaktivitas — Kelas 12.","2026-10-08T09:24:41.318Z",{"id":1649,"subjectId":14,"levelId":54,"parentId":97,"slug":1650,"name":1651,"description":1652,"order":1653,"createdAt":1654,"updatedAt":1654},"cmuzbyhw700gw71r9o87lq7vd","logaritma","Logaritma","Logaritma — Kelas 12 Lanjut.",31,"2026-10-08T09:24:41.623Z",{"id":1656,"subjectId":14,"levelId":54,"parentId":97,"slug":1657,"name":1658,"description":1659,"order":1660,"createdAt":1661,"updatedAt":1661},"cmuzbyhw900gy71r9d9sjh9ie","program-linier","Program Linier","Program Linier — Kelas 12 Lanjut.",32,"2026-10-08T09:24:41.625Z",{"id":1663,"subjectId":14,"levelId":54,"parentId":97,"slug":1664,"name":1665,"description":1666,"order":1667,"createdAt":1668,"updatedAt":1668},"cmuzbyhwb00h071r97764r7hr","bangun-ruang","Bangun Ruang","Bangun Ruang — Kelas 12 Lanjut.",33,"2026-10-08T09:24:41.627Z",{"id":1670,"subjectId":14,"levelId":59,"parentId":97,"slug":1671,"name":124,"description":1672,"order":1673,"createdAt":1674,"updatedAt":1674},"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,"2026-10-08T23:58:22.977Z",{"id":1676,"subjectId":14,"levelId":54,"parentId":97,"slug":1677,"name":1678,"description":1679,"order":1673,"createdAt":1680,"updatedAt":1680},"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.","2026-10-08T23:58:22.868Z",{"id":1682,"subjectId":32,"levelId":54,"parentId":97,"slug":1683,"name":1684,"description":1685,"order":1673,"createdAt":1686,"updatedAt":1686},"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.","2026-10-08T23:58:23.661Z",{"id":1688,"subjectId":23,"levelId":48,"parentId":97,"slug":1689,"name":1690,"description":1691,"order":1673,"createdAt":1692,"updatedAt":1692},"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.","2026-10-08T23:58:23.189Z",{"id":1694,"subjectId":23,"levelId":59,"parentId":97,"slug":1695,"name":1696,"description":1697,"order":1673,"createdAt":1698,"updatedAt":1698},"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.","2026-10-08T23:58:23.364Z",{"id":1700,"subjectId":23,"levelId":54,"parentId":97,"slug":1701,"name":1702,"description":1703,"order":1673,"createdAt":1704,"updatedAt":1704},"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.","2026-10-08T23:58:23.280Z",{"id":1706,"subjectId":32,"levelId":59,"parentId":97,"slug":1707,"name":1708,"description":1709,"order":1673,"createdAt":1710,"updatedAt":1710},"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.","2026-10-08T23:58:23.797Z",{"id":1712,"subjectId":32,"levelId":42,"parentId":97,"slug":1713,"name":1714,"description":1715,"order":1673,"createdAt":1716,"updatedAt":1716},"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.","2026-10-08T23:58:23.477Z",{"id":1718,"subjectId":23,"levelId":42,"parentId":97,"slug":1719,"name":1720,"description":1721,"order":1673,"createdAt":1722,"updatedAt":1722},"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.","2026-10-08T23:58:23.095Z",{"id":1724,"subjectId":14,"levelId":42,"parentId":97,"slug":1725,"name":1726,"description":1727,"order":1673,"createdAt":1728,"updatedAt":1728},"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.","2026-10-08T23:58:22.508Z",{"id":1730,"subjectId":14,"levelId":48,"parentId":97,"slug":1731,"name":1732,"description":1733,"order":1673,"createdAt":1734,"updatedAt":1734},"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.","2026-10-08T23:58:22.690Z",{"id":1736,"subjectId":32,"levelId":48,"parentId":97,"slug":1737,"name":1738,"description":1739,"order":1673,"createdAt":1740,"updatedAt":1740},"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.","2026-10-08T23:58:23.562Z",{"id":1742,"subjectId":32,"levelId":59,"parentId":97,"slug":1743,"name":1744,"description":1745,"order":1746,"createdAt":1747,"updatedAt":1747},"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,"2026-10-08T23:58:23.830Z",{"id":1749,"subjectId":14,"levelId":54,"parentId":97,"slug":1750,"name":1751,"description":1752,"order":1746,"createdAt":1753,"updatedAt":1753},"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.","2026-10-08T23:58:22.902Z",{"id":1755,"subjectId":23,"levelId":42,"parentId":97,"slug":1756,"name":1757,"description":1758,"order":1746,"createdAt":1759,"updatedAt":1759},"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.","2026-10-08T23:58:23.126Z",{"id":1761,"subjectId":14,"levelId":42,"parentId":97,"slug":1762,"name":1763,"description":1764,"order":1746,"createdAt":1765,"updatedAt":1765},"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.","2026-10-08T23:58:22.588Z",{"id":1767,"subjectId":32,"levelId":54,"parentId":97,"slug":1768,"name":1769,"description":1770,"order":1746,"createdAt":1771,"updatedAt":1771},"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.","2026-10-08T23:58:23.694Z",{"id":1773,"subjectId":23,"levelId":48,"parentId":97,"slug":1774,"name":1775,"description":1776,"order":1746,"createdAt":1777,"updatedAt":1777},"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.","2026-10-08T23:58:23.217Z",{"id":1779,"subjectId":32,"levelId":48,"parentId":97,"slug":1780,"name":1781,"description":1782,"order":1746,"createdAt":1783,"updatedAt":1783},"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.","2026-10-08T23:58:23.592Z",{"id":1785,"subjectId":32,"levelId":42,"parentId":97,"slug":1786,"name":1787,"description":1788,"order":1746,"createdAt":1789,"updatedAt":1789},"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.","2026-10-08T23:58:23.503Z",{"id":1791,"subjectId":14,"levelId":48,"parentId":97,"slug":1792,"name":1793,"description":1794,"order":1746,"createdAt":1795,"updatedAt":1795},"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.","2026-10-08T23:58:22.730Z",{"id":1797,"subjectId":23,"levelId":59,"parentId":97,"slug":1798,"name":1799,"description":1800,"order":1746,"createdAt":1801,"updatedAt":1801},"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.","2026-10-08T23:58:23.394Z",{"id":1803,"subjectId":14,"levelId":54,"parentId":97,"slug":1804,"name":1805,"description":1806,"order":1807,"createdAt":1808,"updatedAt":1808},"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,"2026-10-08T23:58:22.934Z",{"id":1810,"subjectId":32,"levelId":54,"parentId":97,"slug":1811,"name":1812,"description":1813,"order":1807,"createdAt":1814,"updatedAt":1814},"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.","2026-10-08T23:58:23.724Z",{"id":1816,"subjectId":32,"levelId":48,"parentId":97,"slug":1817,"name":1818,"description":1819,"order":1807,"createdAt":1820,"updatedAt":1820},"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.","2026-10-08T23:58:23.624Z",{"id":1822,"subjectId":32,"levelId":42,"parentId":97,"slug":1823,"name":1824,"description":1825,"order":1807,"createdAt":1826,"updatedAt":1826},"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.","2026-10-08T23:58:23.529Z",{"id":1828,"subjectId":14,"levelId":48,"parentId":97,"slug":1829,"name":1830,"description":1831,"order":1807,"createdAt":1832,"updatedAt":1832},"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.","2026-10-08T23:58:22.780Z",{"id":1834,"subjectId":32,"levelId":59,"parentId":97,"slug":1835,"name":1836,"description":1837,"order":1807,"createdAt":1838,"updatedAt":1838},"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.","2026-10-08T23:58:23.864Z",{"id":1840,"subjectId":14,"levelId":59,"parentId":97,"slug":1841,"name":1842,"description":1843,"order":1807,"createdAt":1844,"updatedAt":1844},"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.","2026-10-08T23:58:23.045Z",{"id":1846,"subjectId":14,"levelId":42,"parentId":97,"slug":1847,"name":1848,"description":1849,"order":1807,"createdAt":1850,"updatedAt":1850},"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.","2026-10-08T23:58:22.619Z",{"id":1852,"subjectId":14,"levelId":48,"parentId":97,"slug":1853,"name":1854,"description":1855,"order":1856,"createdAt":1857,"updatedAt":1857},"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,"2026-10-08T23:58:22.828Z",{"id":1859,"subjectId":32,"levelId":54,"parentId":97,"slug":1860,"name":1861,"description":1862,"order":1856,"createdAt":1863,"updatedAt":1863},"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.","2026-10-08T23:58:23.755Z",{"id":1865,"subjectId":14,"levelId":42,"parentId":97,"slug":1866,"name":1867,"description":1868,"order":1856,"createdAt":1869,"updatedAt":1869},"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.","2026-10-08T23:58:22.651Z",[],{"id":1872,"type":1873,"slug":1866,"title":1874,"excerpt":1868,"coverUrl":97,"status":1875,"publishedAt":1876,"featured":4,"subjectId":14,"blocks":1877,"seoTitle":97,"seoDescription":97,"readingMinutes":1115,"order":63,"createdAt":1964,"updatedAt":1964,"subject":1965,"levels":1966,"topics":1968,"tags":1970,"author":97,"resolved":1971,"related":1988},"demo-v2-m-matematika-sd-4","MATERIAL","Rumus Volume Balok dan Luas Permukaan + Contoh Soal","PUBLISHED","2026-10-08T23:58:22.672Z",[1878,1883,1890,1894,1898,1902,1906,1912,1916,1921,1928,1932,1936,1942,1946,1950,1954,1958],{"id":1879,"data":1880,"type":1882},"s1-1",{"markdown":1881},"**Rumus volume balok** adalah $V=p\\times l\\times t$, sedangkan **rumus luas permukaan balok** adalah $L=2(pl+pt+lt)$, dengan $p$ panjang, $l$ lebar, dan $t$ tinggi. Volume menyatakan isi ruang balok dalam satuan kubik (cm³ atau liter), sedangkan luas permukaan menyatakan luas keenam sisinya dalam satuan persegi (cm²).","text",{"id":1884,"data":1885,"type":1889},"s1-2",{"title":1886,"variant":1887,"markdown":1888},"Rumus balok","info","$$V=p\\times l\\times t$$\n$$L=2(p\\times l+p\\times t+l\\times t)$$\nBalok tanpa tutup: $L=p\\times l+2(p\\times t+l\\times t)$.","callout",{"id":1891,"data":1892,"type":1882},"s2-1",{"markdown":1893},"## Apa Itu Balok?\n\n**Balok** adalah bangun ruang yang dibatasi tiga pasang sisi berbentuk persegi panjang. Setiap pasang sisi yang berhadapan sama besar dan sejajar. Contohnya kotak sepatu, lemari, batu bata, dan akuarium.\n\nKubus sebenarnya adalah balok khusus: panjang, lebar, dan tingginya sama. Karena itu, rumus balok juga berlaku untuk kubus.",{"id":1895,"data":1896,"type":1882},"s3-1",{"markdown":1897},"## Sifat-sifat Balok\n\n| Unsur balok | Banyaknya |\n|---|---|\n| Sisi (3 pasang persegi panjang) | 6 |\n| Rusuk (3 kelompok, masing-masing 4 sama panjang) | 12 |\n| Titik sudut | 8 |\n| Diagonal sisi | 12 |\n| Diagonal ruang | 4 |\n| Bidang diagonal | 6 |\n\nDua belas rusuk balok terbagi menjadi 4 rusuk panjang, 4 rusuk lebar, dan 4 rusuk tinggi. Jumlah panjang semua rusuknya $4(p+l+t)$. Rumus Euler juga berlaku: $6+8-12=2$.\n\nPanjang **diagonal sisi** alas adalah $\\sqrt{p^2+l^2}$, dan panjang **diagonal ruang** adalah $\\sqrt{p^2+l^2+t^2}$. Untuk balok 5 × 3 × 2, diagonal ruangnya $\\sqrt{25+9+4}=\\sqrt{38}\\approx6{,}16$ satuan.",{"id":1899,"data":1900,"type":1882},"s4-1",{"markdown":1901},"## Rumus Volume Balok\n\nVolume balok dihitung seperti volume kubus: hitung kubus satuan per lapisan. Lapisan dasar berisi $p\\times l$ kubus satuan, dan ada $t$ lapisan. Jadi:\n\n$$V=p\\times l\\times t=\\text{luas alas}\\times\\text{tinggi}$$\n\nUntuk soal tentang air, ingat konversi berikut:\n\n- $1\\text{ liter}=1\\text{ dm}^3=1.000\\text{ cm}^3$\n- $1\\text{ m}^3=1.000\\text{ liter}$\n\nJika volume, panjang, dan lebar diketahui, tinggi dicari dengan $t=V:(p\\times l)$.",{"id":1903,"data":1904,"type":1882},"s5-1",{"markdown":1905},"## Rumus Luas Permukaan Balok\n\nBalok mempunyai tiga pasang sisi:\n\n- sisi atas dan bawah, masing-masing $p\\times l$;\n- sisi depan dan belakang, masing-masing $p\\times t$;\n- sisi kiri dan kanan, masing-masing $l\\times t$.\n\nJumlahkan ketiga jenis sisi, lalu kalikan dua karena setiap jenis ada sepasang: $L=2(pl+pt+lt)$.\n\nUntuk **balok tanpa tutup**, misalnya akuarium terbuka, sisi atas tidak dihitung: $L=pl+2(pt+lt)$.",{"id":1907,"data":1908,"type":1889},"s5-2",{"title":1909,"variant":1910,"markdown":1911},"Cara mudah mengingat","tip","Kalikan setiap pasangan ukuran ($p\\cdot l$, $p\\cdot t$, $l\\cdot t$), jumlahkan ketiganya, lalu gandakan. Ada tiga pasangan karena balok punya tiga pasang sisi.",{"id":1913,"data":1914,"type":1882},"s6-1",{"markdown":1915},"## Jaring-jaring Balok\n\n**Jaring-jaring balok** adalah enam persegi panjang yang jika dilipat membentuk balok. Jaring-jaring yang benar selalu memuat tiga pasang persegi panjang yang ukurannya sama. Jika kamu menggambar jaring-jaring, pastikan rusuk yang akan bertemu saat dilipat mempunyai panjang yang sama.\n\nPada visual interaktif di bawah, tombol **Jaring-jaring** dan penggeser **Buka jaring** memperlihatkan bagaimana keenam sisi terbuka menjadi bentuk datar. Ubah panjang, lebar, dan tinggi, lalu amati perubahan ukuran setiap persegi panjang.",{"id":1917,"data":1918,"type":1889},"visual-guide",{"title":1919,"variant":1887,"markdown":1920},"Eksplorasi visual","- Pada ukuran awal (panjang 5, lebar 3, tinggi 2), baca panel info. Cocokkan volume dengan $5\\times3\\times2=30$ dan luas permukaan dengan $2(15+10+6)=62$.\n- Tekan **Label**, lalu cari empat rusuk yang sama panjang dengan rusuk AB. Ada berapa kelompok rusuk yang sama panjang?\n- Tekan **Sudut** untuk melihat tanda sudut siku-siku di setiap titik sudut.\n- Tekan **Jaring-jaring** dan geser **Buka jaring** pelan-pelan. Temukan tiga pasang persegi panjang yang sama ukurannya.\n- Geser **Panjang**, **Lebar**, dan **Tinggi** sampai ketiganya sama. Bangun apa yang terbentuk?",{"id":1922,"data":1923,"type":1927},"visual",{"height":1924,"assetId":1925,"caption":1926},520,"demo-v2-asset-cuboid","Balok 3D interaktif dan jaring-jaringnya","interactive",{"id":1929,"data":1930,"type":1882},"s7-1",{"markdown":1931},"## Contoh Soal Volume dan Luas Permukaan Balok\n\n### Contoh 1: Volume akuarium dalam liter\n\nAkuarium berukuran panjang 50 cm, lebar 30 cm, dan tinggi 40 cm. Berapa liter air yang dapat ditampung?\n\n1. $V=50\\times30\\times40=60.000\\text{ cm}^3$.\n2. $60.000:1.000=60$ liter.\n\n### Contoh 2: Kertas pembungkus kotak\n\nKotak berukuran 10 cm × 6 cm × 4 cm dibungkus seluruhnya.\n\n1. $pl=60$, $pt=40$, $lt=24$.\n2. $L=2(60+40+24)=2\\times124=248\\text{ cm}^2$.\n\n### Contoh 3: Mencari tinggi\n\nVolume balok $480\\text{ cm}^3$, panjang 10 cm, dan lebar 8 cm. Maka $t=480:(10\\times8)=480:80=6$ cm.\n\n### Contoh 4: Kotak tanpa tutup\n\nKotak terbuka berukuran 20 cm × 10 cm × 5 cm. Luas bahan yang dibutuhkan:\n\n$$L=20\\times10+2(20\\times5+10\\times5)=200+2(100+50)=500\\text{ cm}^2$$\n\n### Contoh 5: Satuan yang berbeda\n\nBak berukuran 1 m × 80 cm × 50 cm. Ubah ke cm: $100\\times80\\times50=400.000\\text{ cm}^3$, yaitu 400 liter.",{"id":1933,"data":1934,"type":1882},"s8-1",{"markdown":1935},"## Kesalahan yang Sering Terjadi",{"id":1937,"data":1938,"type":1889},"s8-2",{"title":1939,"variant":1940,"markdown":1941},"Samakan satuan dulu","warning","Panjang 2 m, lebar 50 cm, dan tinggi 40 cm harus diubah ke satuan yang sama, misalnya 200 cm × 50 cm × 40 cm, sebelum dikalikan.",{"id":1943,"data":1944,"type":1882},"s8-3",{"markdown":1945},"- Lupa mengalikan 2 pada luas permukaan sehingga hanya menghitung tiga sisi.\n- Keliru konversi: $1\\text{ m}^3$ sama dengan 1.000 liter, bukan 100 liter.\n- Memakai rumus balok tertutup untuk wadah tanpa tutup.",{"id":1947,"data":1948,"type":1882},"s9-1",{"markdown":1949},"## Ringkasan\n\n- Balok: 6 sisi persegi panjang (3 pasang), 12 rusuk, 8 titik sudut.\n- Volume balok $V=p\\times l\\times t$; tinggi $t=V:(p\\times l)$.\n- Luas permukaan balok $L=2(pl+pt+lt)$; tanpa tutup $pl+2(pt+lt)$.\n- $1.000\\text{ cm}^3=1$ liter.",{"id":1951,"data":1952,"type":1882},"s10-1",{"markdown":1953},"## Materi Terkait\n\nBandingkan dengan [rumus volume kubus](\u002Fmateri\u002Frumus-volume-kubus), kasus khusus balok. Gagasan \"luas alas × tinggi\" berlanjut ke [rumus prisma dan limas](\u002Fmateri\u002Frumus-prisma-dan-limas). Panjang diagonal ruang balok $\\sqrt{p^2+l^2+t^2}$ dibahas di [teorema Pythagoras](\u002Fmateri\u002Fteorema-pythagoras).",{"id":1955,"data":1956,"type":1882},"sources",{"markdown":1957},"## Sumber belajar\n\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 — Balok](https:\u002F\u002Fid.wikipedia.org\u002Fwiki\u002FBalok)\n\nPenjelasan dan contoh disusun ulang untuk materi ini; sumber dapat dibuka untuk belajar lebih lanjut.",{"id":1959,"data":1960,"type":1963},"practice",{"title":1961,"questionSetId":1962},"Latihan soal Volume dan Luas Permukaan Balok","demo-v2-p-matematika-sd-4","quiz","2026-10-08T23:58:22.674Z",{"id":14,"slug":15,"name":16,"color":19,"icon":18},[1967],{"id":42,"slug":43,"name":44},[1969],{"id":1865,"slug":1866,"name":1867,"subjectId":14},[],{"assets":1972,"videos":1981,"questionSets":1982},{"demo-v2-asset-cuboid":1973},{"id":1925,"slug":1974,"kind":1975,"title":1926,"description":1976,"url":97,"posterUrl":97,"config":1977,"subject":1980},"balok-3d-interaktif","GEOMETRY_3D","Ubah panjang, lebar, dan tinggi balok; amati rusuk yang sama panjang, sudut siku-siku, volume, luas permukaan, dan jaring-jaringnya.",{"shape":1978,"width":63,"height":38,"length":1255,"radius":38,"vector":1979,"allowNet":5,"editable":5,"showAngles":5,"showLabels":5},"cuboid",[29,38,38],{"id":14,"slug":15,"name":16},{},{"demo-v2-p-matematika-sd-4":1983},{"id":1962,"slug":1984,"title":1985,"mode":1986,"description":1987,"questionCount":1115,"durationMinutes":97},"latihan-soal-rumus-volume-balok","Latihan Soal Volume dan Luas Permukaan Balok","PRACTICE","4 soal Volume dan Luas Permukaan Balok (Matematika SD) lengkap dengan pembahasan langkah demi langkah dan alasan pilihan yang keliru.",[1989,2005,2016,2028],{"id":1990,"type":1991,"slug":1992,"title":1993,"excerpt":1994,"coverUrl":97,"status":1875,"publishedAt":1995,"featured":5,"readingMinutes":1376,"order":20,"updatedAt":1996,"subject":1997,"levels":1998,"topics":2003,"tags":2004,"author":97},"demo-v2-a-matematika","ARTICLE","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.","2026-10-08T23:58:23.084Z","2026-10-08T23:58:23.086Z",{"id":14,"slug":15,"name":16,"color":19,"icon":18},[1999,2000,2001,2002],{"id":42,"slug":43,"name":44},{"id":48,"slug":49,"name":50},{"id":54,"slug":55,"name":56},{"id":59,"slug":60,"name":61},[],[],{"id":2006,"type":1873,"slug":1841,"title":2007,"excerpt":1843,"coverUrl":97,"status":1875,"publishedAt":2008,"featured":4,"readingMinutes":1255,"order":38,"updatedAt":2009,"subject":2010,"levels":2011,"topics":2013,"tags":2015,"author":97},"demo-v2-m-matematika-kuliah-3","Vektor 3 Dimensi dan Dot Product (Perkalian Titik)","2026-10-08T23:58:23.070Z","2026-10-08T23:58:23.072Z",{"id":14,"slug":15,"name":16,"color":19,"icon":18},[2012],{"id":59,"slug":60,"name":61},[2014],{"id":1840,"slug":1841,"name":1842,"subjectId":14},[],{"id":2017,"type":1873,"slug":530,"title":2018,"excerpt":2019,"coverUrl":97,"status":1875,"publishedAt":2020,"featured":4,"readingMinutes":1115,"order":29,"updatedAt":2021,"subject":2022,"levels":2023,"topics":2025,"tags":2027,"author":97},"demo-v2-m-matematika-kuliah-2","Integral Tentu: Rumus, Luas, dan Volume Benda Putar","Integral tentu dan teorema dasar kalkulus, sifat-sifatnya, luas daerah antara kurva, volume benda putar metode cakram dan kulit tabung, plus contoh soal.","2026-10-08T23:58:23.034Z","2026-10-08T23:58:23.037Z",{"id":14,"slug":15,"name":16,"color":19,"icon":18},[2024],{"id":59,"slug":60,"name":61},[2026],{"id":529,"slug":530,"name":531,"subjectId":14},[],{"id":2029,"type":1873,"slug":1671,"title":2030,"excerpt":1672,"coverUrl":97,"status":1875,"publishedAt":2031,"featured":5,"readingMinutes":1115,"order":20,"updatedAt":2032,"subject":2033,"levels":2034,"topics":2036,"tags":2038,"author":97},"demo-v2-m-matematika-kuliah-1","Definisi Turunan dengan Limit dan Garis Singgung","2026-10-08T23:58:23.002Z","2026-10-08T23:58:23.004Z",{"id":14,"slug":15,"name":16,"color":19,"icon":18},[2035],{"id":59,"slug":60,"name":61},[2037],{"id":1670,"slug":1671,"name":124,"subjectId":14},[]]