{"id":301473,"date":"2022-06-06T18:04:00","date_gmt":"2022-06-06T11:04:00","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=301473"},"modified":"2023-02-07T15:25:07","modified_gmt":"2023-02-07T08:25:07","slug":"contoh-soal-dimensi-tiga","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/contoh-soal-dimensi-tiga\/","title":{"rendered":"Contoh Soal dan Pembahasan Dimensi Tiga &#8211; Matematika Kelas 12"},"content":{"rendered":"\n<figure class=\"wp-block-image\"><img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"533\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-Ruang.webp\" alt=\"\" class=\"wp-image-301548\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-Ruang.webp 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-Ruang-768x512.webp 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-Ruang-585x390.webp?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-Ruang-263x175.webp?crop=1 263w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Saat menggambarkan bangun ruang, mula-mula pasti kamu akan membuat titik yang dilanjutkan dengan garis, hingga terbentuk suatu bidang.&nbsp;<\/span><span style=\"font-weight: 400;\">Nah, ketiga elemen tersebut akan membentuk dimensi tiga atau geometri ruang. Lantas, bagaimana contoh soal yang berkaitan dengan dimensi tiga?<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Contoh Soal Dimensi Tiga<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Contoh soal dimensi tiga atau geometri ruang bisa ditinjau dari hubungan masing-masing elemennya, yaitu sebagai berikut.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>1. Contoh soal jarak titik ke garis<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun contoh soal yang berkaitan dengan jarak titik ke garis pada geometri ruang adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 1<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perhatikan gambar berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"272\" height=\"266\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-a.png\" alt=\"\" class=\"wp-image-301514\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan jarak antara titik S ke garis CD!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perhatikan sisi CDHG berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"297\" height=\"285\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-b.png\" alt=\"\" class=\"wp-image-301513\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan gambar di atas, titik S diproyeksikan terhadap garis CD hingga terbentuk titik S\u2019.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sementara itu, jarak antara titik S ke garis CD sama dengan panjang garis SS\u2019.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Oleh karena garis SS\u2019 sejajar dengan rusuk kubus ABCD.EFGH, maka panjang SS\u2019 = panjang rusuk kubus ABCD.EFGH = 8 cm.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara titik S ke garis CD adalah 8 cm.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 2<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perhatikan kubus ABCD.EFGH berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"237\" height=\"228\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-c.png\" alt=\"\" class=\"wp-image-301512\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan jarak antara titik E ke diagonal BD!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perhatikan gambar berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"234\" height=\"221\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-d.png\" alt=\"\" class=\"wp-image-301511\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Oleh karena EQ tegak lurus BD,maka berdasarkan gambar di atas, jarak antara titik E ke diagonal bisa dirumuskan sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"168\" height=\"143\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-e.png\" alt=\"\" class=\"wp-image-301510\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"><br><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada&nbsp; segitiga EQA, siku-siku berada di A, sehingga panjangnya EQ bisa ditentukan seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"205\" height=\"197\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-f.png\" alt=\"\" class=\"wp-image-301509\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"><br><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara titik E ke diagonal BD adalah 10\u221a<\/span><span style=\"font-weight: 400;\">6<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>2. Contoh soal jarak titik ke bidang<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun contoh soal jarak titik ke bidang pada geometri ruang adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 1<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah balok KLMN.OPQR memiliki panjang 12 cm, lebar 5, dan tinggi 10 cm. Tentukan jarak antara titik K ke bidang LMPQ!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan dahulu balok KLMN.OPQR seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"240\" height=\"214\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-g.png\" alt=\"\" class=\"wp-image-301508\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan gambar di atas, jarak antara titik K ke bidang LMPQ sama dengan panjang rusuk balok, yaitu 12 cm.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan demikian, jarak antara titik K ke bidang LMPQ adalah 12 cm.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 2<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah limas persegi memiliki panjang sisi alas 18 cm. Sementara itu, panjang sisi tegaknya 24 cm.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan jarak antara puncak limas terhadap alasnya!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan limas persegi tersebut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"329\" height=\"261\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-h.png\" alt=\"\" class=\"wp-image-301507\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jarak antara puncak limas dan alasnya dinyatakan sebagai TO.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada persegi, panjang diagonalnya merupakan hasil perkalian antara panjang sisi dan \u221a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Artinya, panjang sisi AC = 18\u221a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> cm. Berdasarkan gambar di atas, panjangnya OC bisa dirumuskan sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"193\" height=\"153\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-i.png\" alt=\"\" class=\"wp-image-301506\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Selanjutnya, kamu bisa mencari TO menggunakan teorema Phytagoras seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"207\" height=\"190\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-j.png\" alt=\"\" class=\"wp-image-301505\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara puncak limas dan bidang alasnya adalah 3\u221a<\/span><span style=\"font-weight: 400;\">46<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>3. Contoh soal jarak titik ke titik<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun contoh soal jarak titik ke titik pada geometri ruang adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 1<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah prisma segitiga siku-siku ABC.DEF memiliki panjang sisi alas 5 cm dan sisi tegak alas 12 cm.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika volume prisma tersebut 600 cm<sup>3<\/sup><\/span><span style=\"font-weight: 400;\">, tentukan jarak antara titik C ke titik F.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan prismanya terlebih dahulu.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"283\" height=\"372\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-k.png\" alt=\"\" class=\"wp-image-301504\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan gambar di atas, jarak antara titik C dan F menunjukkan tinggi prisma ABC.DEF.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari tinggi prismanya, gunakan persamaan volume berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"236\" height=\"161\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-l.png\" alt=\"\" class=\"wp-image-301503\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara titik C dan F adalah 20 cm.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 2<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah kubus ABCD.EFGH digambarkan seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"238\" height=\"196\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-m.png\" alt=\"\" class=\"wp-image-301502\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika kubus tersebut memiliki panjang sisi 4 cm, tentukan jarak antara titik G dan A!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jarak antara titik G dan A merupakan panjang diagonal ruang kubus ABCD.EFGH.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"241\" height=\"190\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-N.png\" alt=\"\" class=\"wp-image-301501\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menentukan panjang diagonal bidang AC.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"125\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-o.png\" alt=\"\" class=\"wp-image-301500\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Lalu, tentukan panjang diagonal ruangnya (titik G ke A) menggunakan persamaan berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"190\" height=\"201\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-p.png\" alt=\"\" class=\"wp-image-301499\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara titik G ke titik A adalah 4\u221a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>4. Contoh soal jarak garis ke garis<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun contoh soal jarak garis ke garis pada geometri ruang adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 1<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah balok STUV.WXYZ memiliki volume 300 cm<sup>3<\/sup><\/span><span style=\"font-weight: 400;\">.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika tinggi dan lebar baloknya berturut-turut 6 cm dan 5 cm, tentukan jarak antara garis SW dan garis TX!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan baloknya terlebih dahulu.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"277\" height=\"242\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-q.png\" alt=\"\" class=\"wp-image-301498\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan gambar di atas, jarak antara garis SW dan garis TX sama dengan panjang baloknya.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Oleh sebab itu, kamu harus mencari panjang balok melalui persamaan volume seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"186\" height=\"134\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-r.png\" alt=\"\" class=\"wp-image-301497\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara garis SW dan garis TX adalah 10 cm.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 2<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perhatikan kubus ABCD.EFGH berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"241\" height=\"199\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-s.png\" alt=\"\" class=\"wp-image-301496\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika kubus tersebut memiliki rusuk 9 cm, tentukan jarak antara garis AH dan garis BG!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perhatikan kembali kubus berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"201\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-t.png\" alt=\"\" class=\"wp-image-301495\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jarak pisah antara garis AH dan BG sama dengan panjang rusuk kubus ABCD.EFGH tersebut.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan demikian, jarak antara kedua garis tersebut adalah 9 cm.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>5. Contoh soal jarak garis ke bidang<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun contoh soal jarak garis ke bidang pada geometri ruang adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 1<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perhatikan limas segitiga sama sisi berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"242\" height=\"194\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-u.png\" alt=\"\" class=\"wp-image-301494\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika panjang rusuk limas tersebut 12 cm, tentukan jarak antara garis CD terhadap bidang ABC!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan jarak antara garis CD dan bidang ABC.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"259\" height=\"191\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-v.png\" alt=\"\" class=\"wp-image-301493\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jarak antara garis CD terhadap bidang ABC sama dengan panjangnya titik D ke titik P.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Oleh karena alas limasnya berbentuk segitiga sama sisi, maka panjangnya DP bisa dirumuskan sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"185\" height=\"146\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-w.png\" alt=\"\" class=\"wp-image-301492\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara garis CD terhadap bidang ABC adalah 6\u221a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 2<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah balok OPQR.STUV memiliki panjang, lebar, dan tinggi berturut-turut 25 cm, 15 cm, dan 20 cm.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan jarak antara garis PQ dan bidang ORSV!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, gambarkan dahulu bangun baloknya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"342\" height=\"190\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-x.png\" alt=\"\" class=\"wp-image-301491\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan gambar, jarak antara garis PQ dan bidang ORSV sama dengan panjang balok itu sendiri, yaitu 25 cm.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara garis PQ dan bidang ORSV adalah 25 cm.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>6. Contoh soal dimensi tiga UTBK SBMPTN<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun contoh soal geometri ruang pada UTBK SBMPTN adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 1<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Suatu kubus KLMN.OPQR memuat suatu titik, yaitu titik S.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Titik S berada di antara rusuk LN,&nbsp; sehingga diperoleh perbandingan LS : LN = 1 : 2.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jarak titik M ke ruas garis SQ adalah 2\u221a<\/span><span style=\"font-weight: 400;\">5<\/span><span style=\"font-weight: 400;\"> cm. Tentukan jumlah panjang rusuk kubus tersebut!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan terlebih dahulu ilustrasi pada soal seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"247\" height=\"227\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-y.png\" alt=\"\" class=\"wp-image-301490\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan gambar di atas, kamu dapat membuat permisalan seperti berikut.<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Titik T merupakan perpotongan garis tinggi pada segitiga SMQ terhadap alas SQ.<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Panjang rusuk kubusnya sebagai <\/span><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\">.<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Artinya, |M, SQ| = |MT| = panjang ruas garis MQ = 2\u221a<\/span><span style=\"font-weight: 400;\">5 <\/span><span style=\"font-weight: 400;\">cm.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Kamu harus ingat bahwa perpotongan diagonal kubusnya sama panjang dan tepat berpotongan di tengah.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sementara itu, titik S berada di antara rusuk LN dengan perbandingan LS : LN = 1: 2.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Artinya, titik S berada tepat di tengah-tengah LN dan tengah-tengah MK.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada segitiga SMQ, siku-siku berada di M.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">KM = diagonal bidang kubus = <\/span><i><span style=\"font-weight: 400;\">x\u221a<\/span><\/i><span style=\"font-weight: 400;\">2 <\/span><span style=\"font-weight: 400;\">.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"208\" height=\"84\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-z.png\" alt=\"\" class=\"wp-image-301489\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">MQ = rusuk kubus = <\/span><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\">.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"248\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-a1.png\" alt=\"\" class=\"wp-image-301488\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari nilai <\/span><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\">, gunakan persamaan rumus luas segitiga.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"236\" height=\"295\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-b1.png\" alt=\"\" class=\"wp-image-301487\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Oleh karena jumlah rusuk kubus 12, maka jumlah semua rusuknya adalah 12 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 2\u221a<\/span><span style=\"font-weight: 400;\">15<\/span><span style=\"font-weight: 400;\"> = 24\u221a<\/span><span style=\"font-weight: 400;\">15<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, panjang semua rusuk kubus KLMN.OPQR adalah 24\u221a<\/span><span style=\"font-weight: 400;\">15<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 2<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Suatu&nbsp; kubus ABCD.EFGH memiliki panjang rusuk 12 cm.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tepat di tengah rusuk DC terdapat titik V dan di tengah rusuk AD terdapat titik Y.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan jarak antara titik F dan garis VY!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan ilustrasi kubusnya seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"171\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-c1.png\" alt=\"\" class=\"wp-image-301486\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-c1.png 230w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-c1-200x150.png?crop=1 200w\" sizes=\"(max-width: 230px) 100vw, 230px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan gambar di atas, diperoleh:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"530\" height=\"126\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-d1.png\" alt=\"\" class=\"wp-image-301485\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari jarak titik F ke garis VY atau titik W, gunakan teorema Pythagoras berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"210\" height=\"137\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-e1.png\" alt=\"\" class=\"wp-image-301484\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak titik F dan garis VY adalah \u221a<\/span><span style=\"font-weight: 400;\">262<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><b>7. Contoh soal dimensi tiga dalam kehidupan sehari-hari<\/b><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun contoh soal geometri ruang dalam kehidupan sehari-hari adalah sebagai berikut.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 1<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sarah mengadakan pesta ulang tahun di sebuah gedung. Gedung tersebut didesain menyerupai limas segi empat.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Panjang sisi alasnya 8 m dan panjang rusuk tegaknya 4 m.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan jarak antara puncak gedung yang berbentuk limas ke lantai!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan bentuk gedung terlebih dahulu seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"278\" height=\"240\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-f1.png\" alt=\"\" class=\"wp-image-301483\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Diketahui panjang rusuk tegak = TA = TB = TC = TD = 4 m.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Diketahui panjang sisi alas = AB = BC = CD = DA = 8 m.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan demikian, jarak antara puncak gedung ke lantai sama dengan tinggi gedung itu sendiri. Dalam hal ini sama dengan tinggi limasnya.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Selanjutnya, kamu harus menentukan panjang sisi AC menggunakan teorema Phytagoras seperti berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"193\" height=\"116\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-g1.png\" alt=\"\" class=\"wp-image-301482\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tinggi limas memotong sisi AC tepat di tengah, yaitu di titik E. Dengan demikian,<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"249\" height=\"81\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-h1.png\" alt=\"\" class=\"wp-image-301481\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari tinggi limas, gunakan persamaan teorema Phytagoras berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"180\" height=\"147\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-i1.png\" alt=\"\" class=\"wp-image-301480\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, jarak antara puncak gedung dan lantai adalah 4\u221a<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> m.<\/span><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><b>Soal 2<\/b><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Galih memiliki suatu kardus berbentuk kubus. Luas permukaan kardus tersebut adalah 54 cm<sup>2<\/sup><\/span><span style=\"font-weight: 400;\">.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Bagian dalam kardus akan dipasang tali untuk permainan. Tali diletakkan di salah satu titik sudut kardus bagian atas lalu dikaitkan di titik potong diagonal bidang alasnya.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan panjang tali yang dibutuhkan Galih!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Pembahasan:<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pertama, kamu harus menggambarkan ilustrasi kardusnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"307\" height=\"260\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-j1.png\" alt=\"\" class=\"wp-image-301479\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan gambar di atas, panjang tali yang dibutuhkan sama dengan panjang garis FF\u2019.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari panjang rusuk kardus, gunakan persamaan luas permukaan berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"152\" height=\"137\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-k1.png\" alt=\"\" class=\"wp-image-301478\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Oleh karena kardus Galih berbentuk kubus, maka panjang diagonal bidangnya bisa ditentukan dengan persamaan berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"289\" height=\"68\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-l1.png\" alt=\"\" class=\"wp-image-301477\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Artinya, AC = BD = 3\u221a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mencari panjangnya FF\u2019, kamu bisa menggunakan teorema Phytagoras berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"194\" height=\"191\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/06\/Contoh-Soal-dan-Pembahasan-Geometri-ruang-m1.png\" alt=\"\" class=\"wp-image-301476\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, panjang tali yang dibutuhkan Galih adalah 1,5\u221a<\/span><span style=\"font-weight: 400;\">6<\/span><span style=\"font-weight: 400;\"> cm.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Agar Quipperian mudah dalam mengerjakan materi geometri ruang, simak tips berikut ini.<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Gambarkan bangun yang ditanyakan pada soal beserta nama titiknya.<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Identifikasi hubungan antarelemen yang terdapat di dalam soal, misalnya garis, bidang, atau titik.<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Lakukan analisis untuk mencari hubungan dari tiap elemen yang ditanyakan.<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Itulah pembahasan Quipper Blog kali ini. Semoga soal-soal di atas bisa menambah pemahaman Quipperian tentang materi dimensi tiga atau geometri ruang, ya.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk mendapatkan soal-soal serupa, yuk gabung bareng <\/span><a href=\"https:\/\/subscribe.quipper.com\/signup\"><b>Quipper Video<\/b><\/a><span style=\"font-weight: 400;\">! Tak hanya soal, kamu juga bisa belajar lewat rangkuman dan video dari tutor-tutornya. Semangat, ya!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Penulis: Eka Viandari<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Saat menggambarkan bangun ruang, mula-mula pasti kamu akan membuat titik yang dilanjutkan dengan garis, hingga terbentuk suatu bidang.&nbsp;Nah, ketiga elemen tersebut akan membentuk dimensi&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":301548,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[679384888,679384865],"tags":[679385147],"ppma_author":[679386827,679386836],"class_list":["post-301473","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mapel","category-matematika","tag-materi-matematika-kelas-12"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Contoh Soal dan Pembahasan Dimensi Tiga - Matematika Kelas 12 - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Kumpulan contoh soal dimensi tiga titik ke garis, titk ke bidang, titk ke titik dan masih banyak lagi lengkap. 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