[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"public-settings":3,"content:materi:rumus-massa-jenis":11,"public-catalog":217},{"features.tutoring.enabled":4,"sections.subjects.enabled":5,"sections.pricing.enabled":5,"sections.teachers.enabled":5,"sections.testimonials.enabled":4,"sections.faqs.enabled":5,"bankSoal.enabled":5,"site.maintenance":4,"whatsapp.number":6,"brand.name":7,"brand.tagline":8,"contact.email":9,"contact.address":10},false,true,"6285156084435","MyFismat","Platform belajar Matematika, Fisika, dan Pemrograman untuk SD, SMP, SMA, dan Kuliah","support@myfismat.com","Indonesia",{"id":12,"type":13,"slug":14,"title":15,"excerpt":16,"coverUrl":17,"status":18,"publishedAt":19,"featured":4,"subjectId":20,"blocks":21,"seoTitle":17,"seoDescription":17,"readingMinutes":102,"order":103,"createdAt":104,"updatedAt":104,"subject":105,"levels":110,"topics":115,"tags":119,"author":17,"resolved":120,"related":143},"demo-v2-m-fisika-smp-2","MATERIAL","rumus-massa-jenis","Rumus Massa Jenis: Pengertian, Satuan, dan Contoh Soal","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.",null,"PUBLISHED","2026-10-08T23:58:23.240Z","cmuzbyhdq000571r9nsdk6scx",[22,27,34,38,42,46,50,55,62,66,70,74,78,84,88,92,96],{"id":23,"data":24,"type":26},"s1-1",{"markdown":25},"**Massa jenis** adalah massa zat untuk setiap satuan volume. Rumusnya $\\rho = m\u002FV$, dengan $\\rho$ (dibaca *rho*) massa jenis, $m$ massa, dan $V$ volume. Satuan SI massa jenis adalah kg\u002Fm³, sedangkan dalam percobaan sering dipakai g\u002Fcm³. Massa jenis air kira-kira 1 g\u002Fcm³ atau 1.000 kg\u002Fm³.","text",{"id":28,"data":29,"type":33},"s1-2",{"title":30,"variant":31,"markdown":32},"Rumus massa jenis","info","$$\\rho = \\frac{m}{V}$$\n\nBentuk lain: $m = \\rho\\,V$ dan $V = m\u002F\\rho$.\n\nKeterangan: $\\rho$ = massa jenis (kg\u002Fm³ atau g\u002Fcm³), $m$ = massa (kg atau g), $V$ = volume (m³ atau cm³).","callout",{"id":35,"data":36,"type":26},"s2-1",{"markdown":37},"## Apa Itu Massa Jenis?\n\nSebongkah besi kecil terasa lebih berat daripada sepotong kayu yang ukurannya sama. Volumenya sama, tetapi massanya berbeda. Besaran yang membandingkan massa dengan volume inilah yang disebut **massa jenis** atau **densitas**.\n\nMassa jenis adalah sifat bahan. Jika sebatang aluminium dipotong menjadi dua bagian sama besar, massa dan volume tiap potong menjadi setengahnya, sehingga perbandingannya tetap. Jadi, massa jenis tidak berubah hanya karena ukuran benda berubah, selama bahan, suhu, dan kondisinya sama.\n\nMassa diukur dengan **neraca**. Volume diukur dengan penggaris untuk benda beraturan, atau dengan **gelas ukur** untuk zat cair dan benda tidak beraturan.",{"id":39,"data":40,"type":26},"s3-1",{"markdown":41},"## Satuan Massa Jenis dan Cara Mengubahnya\n\nDua satuan yang paling sering dipakai adalah kg\u002Fm³ (satuan SI) dan g\u002Fcm³. Hubungannya:\n\n$$1\\ \\text{g\u002Fcm}^3 = \\frac{0{,}001\\ \\text{kg}}{0{,}000001\\ \\text{m}^3} = 1.000\\ \\text{kg\u002Fm}^3$$\n\nJadi, untuk mengubah g\u002Fcm³ menjadi kg\u002Fm³, kalikan dengan 1.000. Sebaliknya, untuk mengubah kg\u002Fm³ menjadi g\u002Fcm³, bagi dengan 1.000. Faktornya bukan 100, karena satuan massa dan satuan volume berubah bersamaan. Ingat juga bahwa 1 mL = 1 cm³ dan 1 L = 1.000 cm³.",{"id":43,"data":44,"type":26},"s4-1",{"markdown":45},"## Tabel Massa Jenis Beberapa Zat\n\nNilai berikut adalah perkiraan pada suhu ruang. Nilai sebenarnya bergantung pada suhu dan kemurnian zat.\n\n| Zat | Massa jenis (kg\u002Fm³) | Massa jenis (g\u002Fcm³) |\n|---|---|---|\n| Udara (dekat permukaan laut) | ≈ 1,2 | ≈ 0,0012 |\n| Minyak goreng | ≈ 920 | ≈ 0,92 |\n| Es | ≈ 920 | ≈ 0,92 |\n| Air murni | ≈ 1.000 | ≈ 1,00 |\n| Air laut | ≈ 1.025 | ≈ 1,03 |\n| Aluminium | ≈ 2.700 | ≈ 2,7 |\n| Besi | ≈ 7.900 | ≈ 7,9 |\n| Raksa | ≈ 13.600 | ≈ 13,6 |\n| Emas | ≈ 19.300 | ≈ 19,3 |",{"id":47,"data":48,"type":26},"s5-1",{"markdown":49},"## Cara Menghitung Massa Jenis Benda\n\n**Benda beraturan**, seperti balok atau kubus:\n\n1. Ukur panjang, lebar, dan tinggi, lalu hitung volume $V = p \\times l \\times t$.\n2. Timbang massanya dengan neraca.\n3. Bagi massa dengan volume.\n\n**Benda tidak beraturan**, seperti batu:\n\n1. Isi gelas ukur dengan air dan catat volume awalnya.\n2. Masukkan benda sampai tenggelam seluruhnya, lalu catat volume akhirnya.\n3. Volume benda = volume akhir − volume awal.\n4. Timbang massanya, lalu bagi dengan volume.\n\nCara gelas ukur hanya tepat untuk benda yang tidak larut, tidak menyerap air, dan tidak menyisakan gelembung udara.",{"id":51,"data":52,"type":33},"visual-guide",{"title":53,"variant":31,"markdown":54},"Eksplorasi visual","- Atur **Panjang** 5, **Lebar** 3, dan **Tinggi** 2, lalu baca volume di panel info: 30. Anggap satuannya cm, jadi 30 cm³.\n- Misalkan balok itu bermassa 81 g. Hitung massa jenisnya: 81 ÷ 30 = 2,7 g\u002Fcm³.\n- Ubah **Tinggi** menjadi 4. Volume menjadi 60 cm³. Jika bahannya sama, massanya 162 g dan massa jenisnya tetap 2,7 g\u002Fcm³.\n- Tekan **Label** untuk melihat ukuran rusuk, lalu cocokkan dengan rumus V = p × l × t.",{"id":56,"data":57,"type":61},"visual",{"height":58,"assetId":59,"caption":60},520,"demo-v2-asset-cuboid","Balok 3D interaktif dan jaring-jaringnya","interactive",{"id":63,"data":64,"type":26},"s6-1",{"markdown":65},"## Eksplorasi Visual: Volume Balok dan Massa Jenis\n\nModel balok di atas membantu menghitung volume benda beraturan. Anggap ukurannya dalam sentimeter. Balok dengan panjang 5 cm, lebar 3 cm, dan tinggi 2 cm mempunyai volume $5 \\times 3 \\times 2 = 30$ cm³. Jika massanya 81 g, massa jenisnya $81 : 30 = 2{,}7$ g\u002Fcm³, sama dengan perkiraan massa jenis aluminium.\n\nJika tinggi balok dijadikan dua kali dengan bahan yang sama, volume dan massanya sama-sama menjadi dua kali. Massa jenisnya tetap 2,7 g\u002Fcm³.",{"id":67,"data":68,"type":26},"s7-1",{"markdown":69},"## Contoh Soal Massa Jenis dan Pembahasan\n\n### Contoh 1: kubus logam\n\nKubus padat memiliki rusuk 3 cm dan massa 216 g. Berapa massa jenisnya?\n\nPembahasan: volume $V = 3 \\times 3 \\times 3 = 27$ cm³. Massa jenis $\\rho = 216 : 27 = 8$ g\u002Fcm³ atau 8.000 kg\u002Fm³. Cek: $8 \\times 27 = 216$ g.\n\n### Contoh 2: batu dalam gelas ukur\n\nAir dalam gelas ukur semula 50 mL. Setelah batu bermassa 60 g dimasukkan sampai terendam, bacaannya 74 mL. Berapa massa jenis batu?\n\nPembahasan: volume batu $= 74 - 50 = 24$ mL $= 24$ cm³. Massa jenis $\\rho = 60 : 24 = 2{,}5$ g\u002Fcm³ atau 2.500 kg\u002Fm³. Memakai 74 mL sebagai volume batu adalah keliru karena angka itu termasuk air semula.\n\n### Contoh 3: mencari massa dari massa jenis\n\nSebuah botol berisi 2 L minyak dengan massa jenis 0,9 g\u002Fcm³. Berapa massa minyak?\n\nPembahasan: ubah volume: 2 L = 2.000 cm³. Massa $m = \\rho\\,V = 0{,}9 \\times 2.000 = 1.800$ g = 1,8 kg.",{"id":71,"data":72,"type":26},"s8-1",{"markdown":73},"## Massa Jenis dan Benda Terapung, Melayang, atau Tenggelam\n\nUntuk benda pejal yang dimasukkan ke zat cair, bandingkan massa jenis rata-rata benda dengan massa jenis zat cairnya:\n\n- $\\rho_{\\text{benda}} \u003C \\rho_{\\text{cair}}$: benda **terapung**. Es (0,92 g\u002Fcm³) terapung di air.\n- $\\rho_{\\text{benda}} = \\rho_{\\text{cair}}$: benda **melayang**.\n- $\\rho_{\\text{benda}} > \\rho_{\\text{cair}}$: benda **tenggelam**. Besi (7,9 g\u002Fcm³) tenggelam di air.\n\nKapal dari baja dapat terapung karena bentuknya berongga. Massa jenis rata-rata kapal, termasuk udara di dalam lambungnya, lebih kecil daripada massa jenis air laut.",{"id":75,"data":76,"type":26},"s9-1",{"markdown":77},"## Kesalahan yang Sering Terjadi",{"id":79,"data":80,"type":33},"s9-2",{"title":81,"variant":82,"markdown":83},"Teliti sebelum membagi","warning","- Membalik rumus menjadi volume dibagi massa.\n- Memakai volume akhir gelas ukur sebagai volume benda, padahal yang dipakai adalah selisihnya.\n- Mencampur satuan, misalnya massa dalam kg tetapi volume dalam cm³.\n- Menganggap benda bermassa besar pasti bermassa jenis besar. Kasur busa lebih berat daripada kelereng kaca, tetapi massa jenis busa jauh lebih kecil.",{"id":85,"data":86,"type":26},"s10-1",{"markdown":87},"## Ringkasan\n\n- Massa jenis $\\rho = m\u002FV$ adalah sifat bahan, tidak bergantung pada ukuran benda.\n- 1 g\u002Fcm³ = 1.000 kg\u002Fm³, dan 1 mL = 1 cm³.\n- Volume benda tidak beraturan = selisih bacaan gelas ukur.\n- Benda terapung jika massa jenisnya lebih kecil daripada zat cair, dan tenggelam jika lebih besar.",{"id":89,"data":90,"type":26},"s11-1",{"markdown":91},"## Materi Terkait\n\n- [Pengukuran Panjang](\u002Fmateri\u002Fpengukuran-panjang): dasar mengukur rusuk balok dan kubus.\n- [GLB dan GLBB](\u002Fmateri\u002Fglb-dan-glbb): materi fisika SMP tentang gerak lurus.\n- [Usaha dan Energi](\u002Fmateri\u002Fusaha-dan-energi): materi fisika SMP tentang energi.\n- Lihat semua materi di [halaman mapel Fisika](\u002Fmapel\u002Ffisika).",{"id":93,"data":94,"type":26},"sources",{"markdown":95},"## Sumber belajar\n\n- [OpenStax College Physics 2e — Density](https:\u002F\u002Fopenstax.org\u002Fbooks\u002Fcollege-physics-2e\u002Fpages\u002F11-2-density)\n- [Wikipedia bahasa Indonesia — Massa jenis](https:\u002F\u002Fid.wikipedia.org\u002Fwiki\u002FMassa_jenis)\n\nPenjelasan dan contoh disusun ulang untuk materi ini; sumber dapat dibuka untuk belajar lebih lanjut.",{"id":97,"data":98,"type":101},"practice",{"title":99,"questionSetId":100},"Latihan soal Massa Jenis","demo-v2-p-fisika-smp-2","quiz",5,1,"2026-10-08T23:58:23.242Z",{"id":20,"slug":106,"name":107,"color":108,"icon":109},"fisika","Fisika","#0EA5E9","atom",[111],{"id":112,"slug":113,"name":114},"cmuzbyhdb000171r9dcbyf0qg","smp","SMP",[116],{"id":117,"slug":14,"name":118,"subjectId":20},"demo-v2-topic-fisika-smp-2","Massa Jenis",[],{"assets":121,"videos":135,"questionSets":136},{"demo-v2-asset-cuboid":122},{"id":59,"slug":123,"kind":124,"title":60,"description":125,"url":17,"posterUrl":17,"config":126,"subject":131},"balok-3d-interaktif","GEOMETRY_3D","Ubah 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soal.","2026-10-08T23:58:23.446Z","2026-10-08T23:58:23.449Z",{"id":20,"slug":106,"name":107,"color":108,"icon":109},[180],{"id":166,"slug":167,"name":168},[182],{"id":183,"slug":173,"name":184,"subjectId":20},"cmuzbyhhb002y71r9j4vyqonb","Momen Inersia",[],{"id":187,"type":13,"slug":188,"title":189,"excerpt":190,"coverUrl":17,"status":18,"publishedAt":191,"featured":4,"readingMinutes":192,"order":103,"updatedAt":193,"subject":194,"levels":195,"topics":197,"tags":201,"author":17},"demo-v2-m-fisika-kuliah-2","usaha-oleh-gaya-berubah","Usaha oleh Gaya Berubah: Rumus Integral dan Dot Product","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.","2026-10-08T23:58:23.416Z",6,"2026-10-08T23:58:23.418Z",{"id":20,"slug":106,"name":107,"color":108,"icon":109},[196],{"id":166,"slug":167,"name":168},[198],{"id":199,"slug":188,"name":200,"subjectId":20},"demo-v2-topic-fisika-kuliah-2","Usaha Gaya 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Pertama","2026-10-08T09:24:40.943Z",{"id":162,"slug":163,"name":164,"description":243,"order":129,"createdAt":241,"updatedAt":241},"Sekolah Menengah Atas",{"id":166,"slug":167,"name":168,"description":245,"order":128,"createdAt":241,"updatedAt":241},"Perguruan tinggi \u002F 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11.","2026-10-08T09:24:41.161Z",{"id":256,"subjectId":132,"levelId":162,"parentId":17,"slug":1693,"name":264,"description":1694,"order":1695,"createdAt":1696,"updatedAt":1696},"barisan-dan-deret-kelas-12-wajib","Barisan dan Deret — Kelas 12 Wajib.",19,"2026-10-08T09:24:41.512Z",{"id":554,"subjectId":20,"levelId":162,"parentId":17,"slug":1698,"name":1699,"description":1700,"order":1695,"createdAt":1701,"updatedAt":1701},"suhu-dan-kalor","Suhu dan Kalor","Suhu dan Kalor — Kelas 11.","2026-10-08T09:24:41.169Z",{"id":285,"subjectId":132,"levelId":162,"parentId":17,"slug":1703,"name":1704,"description":1705,"order":1706,"createdAt":1707,"updatedAt":1707},"bunga","Bunga","Bunga — Kelas 12 Wajib.",20,"2026-10-08T09:24:41.518Z",{"id":351,"subjectId":20,"levelId":162,"parentId":17,"slug":1709,"name":1710,"description":1711,"order":1706,"createdAt":1712,"updatedAt":1712},"teori-kinetik-gas","Teori Kinetik Gas","Teori Kinetik Gas — Kelas 11.","2026-10-08T09:24:41.188Z",{"id":560,"subjectId":132,"levelId":162,"parentId":17,"slug":1714,"name":1715,"description":1716,"order":1717,"createdAt":1718,"updatedAt":1718},"investasi-dan-pinjaman","Investasi dan Pinjaman","Investasi dan Pinjaman — Kelas 12 Wajib.",21,"2026-10-08T09:24:41.525Z",{"id":578,"subjectId":20,"levelId":162,"parentId":17,"slug":1720,"name":1721,"description":1722,"order":1717,"createdAt":1723,"updatedAt":1723},"termodinamika","Termodinamika","Termodinamika — Kelas 11.","2026-10-08T09:24:41.202Z",{"id":506,"subjectId":132,"levelId":162,"parentId":17,"slug":1725,"name":1726,"description":1727,"order":1728,"createdAt":1729,"updatedAt":1729},"kaidah-pencacahan","Kaidah Pencacahan","Kaidah Pencacahan — Kelas 12 Wajib.",22,"2026-10-08T09:24:41.540Z",{"id":447,"subjectId":20,"levelId":162,"parentId":17,"slug":1731,"name":1732,"description":1733,"order":1728,"createdAt":1734,"updatedAt":1734},"listrik-statis","Listrik Statis","Listrik Statis — Kelas 12.","2026-10-08T09:24:41.215Z",{"id":417,"subjectId":20,"levelId":162,"parentId":17,"slug":1736,"name":1737,"description":1738,"order":1739,"createdAt":1740,"updatedAt":1740},"listrik-arus-searah","Listrik Arus Searah","Listrik Arus Searah — Kelas 12.",23,"2026-10-08T09:24:41.227Z",{"id":465,"subjectId":132,"levelId":162,"parentId":17,"slug":1742,"name":1591,"description":1743,"order":1739,"createdAt":1744,"updatedAt":1744},"peluang-kelas-12-wajib","Peluang — Kelas 12 Wajib.","2026-10-08T09:24:41.547Z",{"id":429,"subjectId":132,"levelId":162,"parentId":17,"slug":1746,"name":1747,"description":1748,"order":1749,"createdAt":1750,"updatedAt":1750},"geometri-analitik","Geometri Analitik","Geometri Analitik — Kelas 12 Lanjut.",24,"2026-10-08T09:24:41.553Z",{"id":423,"subjectId":20,"levelId":162,"parentId":17,"slug":1752,"name":1753,"description":1754,"order":1749,"createdAt":1755,"updatedAt":1755},"kemagnetan","Kemagnetan","Kemagnetan — Kelas 12.","2026-10-08T09:24:41.245Z",{"id":297,"subjectId":132,"levelId":162,"parentId":17,"slug":1757,"name":1758,"description":1759,"order":1760,"createdAt":1761,"updatedAt":1761},"limit","Limit","Limit — Kelas 12 Lanjut.",25,"2026-10-08T09:24:41.562Z",{"id":249,"subjectId":20,"levelId":162,"parentId":17,"slug":1763,"name":1764,"description":1765,"order":1760,"createdAt":1766,"updatedAt":1766},"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":488,"subjectId":20,"levelId":162,"parentId":17,"slug":1768,"name":1769,"description":1770,"order":1771,"createdAt":1772,"updatedAt":1772},"gelombang-elektromagnetik","Gelombang Elektromagnetik","Gelombang Elektromagnetik — Kelas 12.",26,"2026-10-08T09:24:41.273Z",{"id":303,"subjectId":132,"levelId":162,"parentId":17,"slug":1774,"name":1775,"description":1776,"order":1771,"createdAt":1777,"updatedAt":1777},"turunan-fungsi","Turunan Fungsi","Turunan Fungsi — Kelas 12 Lanjut.","2026-10-08T09:24:41.575Z",{"id":512,"subjectId":132,"levelId":162,"parentId":17,"slug":1779,"name":1780,"description":1781,"order":1782,"createdAt":1783,"updatedAt":1783},"aplikasi-turunan","Aplikasi Turunan","Aplikasi Turunan — Kelas 12 Lanjut.",27,"2026-10-08T09:24:41.587Z",{"id":542,"subjectId":20,"levelId":162,"parentId":17,"slug":1785,"name":1786,"description":1787,"order":1782,"createdAt":1788,"updatedAt":1788},"pengantar-instrumental-digital","Pengantar Instrumental Digital","Pengantar Instrumental Digital — Kelas 12.","2026-10-08T09:24:41.283Z",{"id":387,"subjectId":132,"levelId":162,"parentId":17,"slug":1790,"name":1791,"description":1792,"order":1793,"createdAt":1794,"updatedAt":1794},"integral","Integral","Integral — Kelas 12 Lanjut.",28,"2026-10-08T09:24:41.599Z",{"id":530,"subjectId":20,"levelId":162,"parentId":17,"slug":1796,"name":1797,"description":1798,"order":1793,"createdAt":1799,"updatedAt":1799},"relativitas-khusus","Relativitas Khusus","Relativitas Khusus — Kelas 12.","2026-10-08T09:24:41.291Z",{"id":536,"subjectId":20,"levelId":162,"parentId":17,"slug":1801,"name":1802,"description":1803,"order":1804,"createdAt":1805,"updatedAt":1805},"gejala-kuantum","Gejala Kuantum","Gejala Kuantum — Kelas 12.",29,"2026-10-08T09:24:41.303Z",{"id":435,"subjectId":132,"levelId":162,"parentId":17,"slug":1807,"name":1808,"description":1809,"order":1804,"createdAt":1810,"updatedAt":1810},"penerapan-integral","Penerapan Integral","Penerapan Integral — Kelas 12 Lanjut.","2026-10-08T09:24:41.607Z",{"id":327,"subjectId":132,"levelId":162,"parentId":17,"slug":1812,"name":1813,"description":1814,"order":1815,"createdAt":1816,"updatedAt":1816},"analisis-data-peluang","Analisis Data & Peluang","Analisis Data & Peluang — Kelas 12 Lanjut.",30,"2026-10-08T09:24:41.611Z",{"id":471,"subjectId":20,"levelId":162,"parentId":17,"slug":1818,"name":1819,"description":1820,"order":1815,"createdAt":1821,"updatedAt":1821},"fisika-inti-dan-radioaktivitas","Fisika Inti dan Radioaktivitas","Fisika Inti dan Radioaktivitas — Kelas 12.","2026-10-08T09:24:41.318Z",{"id":1823,"subjectId":132,"levelId":162,"parentId":17,"slug":1824,"name":1825,"description":1826,"order":1827,"createdAt":1828,"updatedAt":1828},"cmuzbyhw700gw71r9o87lq7vd","logaritma","Logaritma","Logaritma — Kelas 12 Lanjut.",31,"2026-10-08T09:24:41.623Z",{"id":1830,"subjectId":132,"levelId":162,"parentId":17,"slug":1831,"name":1832,"description":1833,"order":1834,"createdAt":1835,"updatedAt":1835},"cmuzbyhw900gy71r9d9sjh9ie","program-linier","Program Linier","Program Linier — Kelas 12 Lanjut.",32,"2026-10-08T09:24:41.625Z",{"id":1837,"subjectId":132,"levelId":162,"parentId":17,"slug":1838,"name":1839,"description":1840,"order":1841,"createdAt":1842,"updatedAt":1842},"cmuzbyhwb00h071r97764r7hr","bangun-ruang","Bangun Ruang","Bangun Ruang — Kelas 12 Lanjut.",33,"2026-10-08T09:24:41.627Z",{"id":1844,"subjectId":132,"levelId":166,"parentId":17,"slug":1845,"name":305,"description":1846,"order":1847,"createdAt":1848,"updatedAt":1848},"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":1850,"subjectId":132,"levelId":162,"parentId":17,"slug":1851,"name":1852,"description":1853,"order":1847,"createdAt":1854,"updatedAt":1854},"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":1856,"subjectId":228,"levelId":162,"parentId":17,"slug":1857,"name":1858,"description":1859,"order":1847,"createdAt":1860,"updatedAt":1860},"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":1862,"subjectId":20,"levelId":112,"parentId":17,"slug":1863,"name":1864,"description":1865,"order":1847,"createdAt":1866,"updatedAt":1866},"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":214,"subjectId":20,"levelId":166,"parentId":17,"slug":204,"name":215,"description":206,"order":1847,"createdAt":1868,"updatedAt":1868},"2026-10-08T23:58:23.364Z",{"id":1870,"subjectId":20,"levelId":162,"parentId":17,"slug":1871,"name":1872,"description":1873,"order":1847,"createdAt":1874,"updatedAt":1874},"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":1876,"subjectId":228,"levelId":166,"parentId":17,"slug":1877,"name":1878,"description":1879,"order":1847,"createdAt":1880,"updatedAt":1880},"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":1882,"subjectId":228,"levelId":157,"parentId":17,"slug":1883,"name":1884,"description":1885,"order":1847,"createdAt":1886,"updatedAt":1886},"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":1888,"subjectId":20,"levelId":157,"parentId":17,"slug":1889,"name":1890,"description":1891,"order":1847,"createdAt":1892,"updatedAt":1892},"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":1894,"subjectId":132,"levelId":157,"parentId":17,"slug":1895,"name":1896,"description":1897,"order":1847,"createdAt":1898,"updatedAt":1898},"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":1900,"subjectId":132,"levelId":112,"parentId":17,"slug":1901,"name":1902,"description":1903,"order":1847,"createdAt":1904,"updatedAt":1904},"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":1906,"subjectId":228,"levelId":112,"parentId":17,"slug":1907,"name":1908,"description":1909,"order":1847,"createdAt":1910,"updatedAt":1910},"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":1912,"subjectId":228,"levelId":166,"parentId":17,"slug":1913,"name":1914,"description":1915,"order":1916,"createdAt":1917,"updatedAt":1917},"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":1919,"subjectId":132,"levelId":162,"parentId":17,"slug":1920,"name":1921,"description":1922,"order":1916,"createdAt":1923,"updatedAt":1923},"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":1925,"subjectId":20,"levelId":157,"parentId":17,"slug":1926,"name":1927,"description":1928,"order":1916,"createdAt":1929,"updatedAt":1929},"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":1931,"subjectId":132,"levelId":157,"parentId":17,"slug":1932,"name":1933,"description":1934,"order":1916,"createdAt":1935,"updatedAt":1935},"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":1937,"subjectId":228,"levelId":162,"parentId":17,"slug":1938,"name":1939,"description":1940,"order":1916,"createdAt":1941,"updatedAt":1941},"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":117,"subjectId":20,"levelId":112,"parentId":17,"slug":14,"name":118,"description":16,"order":1916,"createdAt":1943,"updatedAt":1943},"2026-10-08T23:58:23.217Z",{"id":1945,"subjectId":228,"levelId":112,"parentId":17,"slug":1946,"name":1947,"description":1948,"order":1916,"createdAt":1949,"updatedAt":1949},"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":1951,"subjectId":228,"levelId":157,"parentId":17,"slug":1952,"name":1953,"description":1954,"order":1916,"createdAt":1955,"updatedAt":1955},"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":1957,"subjectId":132,"levelId":112,"parentId":17,"slug":1958,"name":1959,"description":1960,"order":1916,"createdAt":1961,"updatedAt":1961},"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":199,"subjectId":20,"levelId":166,"parentId":17,"slug":188,"name":200,"description":190,"order":1916,"createdAt":1963,"updatedAt":1963},"2026-10-08T23:58:23.394Z",{"id":1965,"subjectId":132,"levelId":162,"parentId":17,"slug":1966,"name":1967,"description":1968,"order":1969,"createdAt":1970,"updatedAt":1970},"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":1972,"subjectId":228,"levelId":162,"parentId":17,"slug":1973,"name":1974,"description":1975,"order":1969,"createdAt":1976,"updatedAt":1976},"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":1978,"subjectId":228,"levelId":112,"parentId":17,"slug":1979,"name":1980,"description":1981,"order":1969,"createdAt":1982,"updatedAt":1982},"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":1984,"subjectId":228,"levelId":157,"parentId":17,"slug":1985,"name":1986,"description":1987,"order":1969,"createdAt":1988,"updatedAt":1988},"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":1990,"subjectId":132,"levelId":112,"parentId":17,"slug":1991,"name":1992,"description":1993,"order":1969,"createdAt":1994,"updatedAt":1994},"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":1996,"subjectId":228,"levelId":166,"parentId":17,"slug":1997,"name":1998,"description":1999,"order":1969,"createdAt":2000,"updatedAt":2000},"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":2002,"subjectId":132,"levelId":166,"parentId":17,"slug":2003,"name":2004,"description":2005,"order":1969,"createdAt":2006,"updatedAt":2006},"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":2008,"subjectId":132,"levelId":157,"parentId":17,"slug":2009,"name":2010,"description":2011,"order":1969,"createdAt":2012,"updatedAt":2012},"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":2014,"subjectId":132,"levelId":112,"parentId":17,"slug":2015,"name":2016,"description":2017,"order":2018,"createdAt":2019,"updatedAt":2019},"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":2021,"subjectId":228,"levelId":162,"parentId":17,"slug":2022,"name":2023,"description":2024,"order":2018,"createdAt":2025,"updatedAt":2025},"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":2027,"subjectId":132,"levelId":157,"parentId":17,"slug":2028,"name":2029,"description":2030,"order":2018,"createdAt":2031,"updatedAt":2031},"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",[]]