{"id":95842,"date":"2017-04-12T18:45:28","date_gmt":"2017-04-12T11:45:28","guid":{"rendered":"https:\/\/video.quipper.com\/id\/blog\/?p=95842"},"modified":"2019-08-02T16:54:37","modified_gmt":"2019-08-02T09:54:37","slug":"5-contoh-soal-matematika-smp-kelas-9-tentang-bangun-datar-bangun-ruang-dan-pembahasannya","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/5-contoh-soal-matematika-smp-kelas-9-tentang-bangun-datar-bangun-ruang-dan-pembahasannya\/","title":{"rendered":"5 Contoh Soal Matematika SMP kelas 9 tentang Bangun Datar-Bangun Ruang dan Pembahasannya"},"content":{"rendered":"

 <\/p>\n

\"5<\/a><\/p>\n

Hai, Quipperian!<\/span><\/p>\n

Soal dalam pelajaran Matematika memang sering <\/span>tricky<\/span><\/i>, setuju nggak? Apalagi, soal tentang bangun datar dan bangun ruang. Misalnya, lingkaran. Salah-salah, kamu bisa memasukkan diameter ke rumus yang seharusnya menggunakan jari-jari. Duh! Supaya nggak kena jebakannya, sebetulnya kamu hanya perlu satu hal, yaitu menghapalkan rumusnya.<\/span><\/p>\n

Tapi\u2026<\/span><\/p>\n

\u201cNgapalin rumus itu paling susah\u2026\u201d<\/span><\/i><\/p>\n

\u201cBangunnya banyak banget, berarti rumus yang harus dihapalkan juga banyak\u2026\u201d<\/span><\/i><\/p>\n

\u201cRumusnya sering tertukar\u2026\u201d<\/span><\/i><\/p>\n

Wah, apakah problema yang sama menimpamu juga?<\/span><\/p>\n

Malas Hitung-Hitungan Terus? Yuk Belajar Pelajaran Sejarah Tentang Penjelajahan Samudra!<\/a><\/h3>\n

Jika ya, mungkin beberapa hal sederhana ini bisa membantu: (1) mencari luas sama dengan mengalikan sisi-sisinya, hanya saja, dalam beberapa kasus, kamu harus membagi hasilnya menjadi dua atau menambahkan sisi-sisi diagonalnya dulu, kecuali lingkaran, (2) mencari keliling sama dengan menambahkan panjang setiap sisi yang beperan sebagai bingkai, kecuali lingkaran, (3) mencari volume apa saja sama dengan mengalikan luas alas dengan tingginya, hanya saja, dalam beberapa kasus kamu harus membagi hasilnya menjadi dua atau tiga, dan (4) mencari luas permukaan bangun ruang sama dengan mencari luas setiap bagian datar dari bangun ruang tersebut yang nantinya harus ditambahkan.<\/span><\/p>\n

Kamu sudah paham dan hapal semua rumusnya? Yuk, coba mengerjakan soal tentang lingkaran, kubus dan balok berikut ini bersama-sama!<\/span><\/p>\n

    \n
  1. Sebuah lingkaran mempunyai luas 314 cm<\/span>2<\/span> (<\/span>\u03c0<\/span> = 3,14), maka kelilingnya adalah \u2026<\/span>\n
      \n
    1. 62,8 cm<\/span><\/li>\n
    2. 31, 4 cm<\/span><\/li>\n
    3. 18,84 cm<\/span><\/li>\n
    4. 15,7 cm<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

      Pembahasan:<\/i><\/b><\/p>\n

      Untuk mencari yang ditanyakan (keliling), diperlukan r (jari-jari lingkaran) yang belum diketahui. Maka dari itu, untuk mendapatkan r, kita bisa mencarinya dengan luas yang telah diketahui.<\/span><\/p>\n

       <\/p>\n

      \"5<\/a><\/p>\n

      Setelah kini mengetahui r, kita bisa mencari keliling.<\/span><\/p>\n

       <\/p>\n

      \"5<\/a><\/p>\n

      Dengan demikian, jawaban yang tepat adalah pilihan <\/span>A<\/b>.<\/span><\/p>\n

        \n
      1. Sebuah roda berputar sebanyak 200 kali dengan jarak tempuh 440 m dan <\/span>\u03c0<\/span> = 22\/7, maka jari-jari roda adalah \u2026<\/span>\n
          \n
        1. 300 cm<\/span><\/li>\n
        2. 320 cm<\/span><\/li>\n
        3. 330 cm<\/span><\/li>\n
        4. 350 cm<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

           <\/p>\n

          Pembahasan:<\/i><\/b><\/p>\n

          Untuk mencari yang ditanyakan (jari-jari), kita perlu memasukkannya ke dalam rumus luas atau keliling lingkaran. Jika sebuah roda berputar sebanyak 200 kali dan sejauh 440 m, maka kita dapat berkesimpulan bahwa 440 m adalah 200 kali keliling roda tersebut. Maka dari itu, kita bisa mencari 1 keliling roda dengan membaginya.<\/span><\/p>\n

          \"5<\/a><\/p>\n

          Setelah kita menemukan keliling, maka kita dapat mencari panjang jari-jari roda tersebut.<\/span><\/p>\n

          \"5<\/a><\/p>\n

          Kemudian, konversikan satuan panjang jari-jari tersebut ke dalam satuan panjang yang diminta.<\/span><\/p>\n

          \"5<\/a><\/p>\n

          Dengan demikian, jawaban yang tepat adalah pilihan <\/span>D<\/b>.<\/span><\/p>\n

            \n
          1. Luas lingkaran yang diameternya 40 cm adalah \u2026<\/span>\n
              \n
            1. 314 cm<\/span>2<\/span><\/li>\n
            2. 942 cm<\/span>2<\/span><\/li>\n
            3. 1256 cm<\/span>2<\/span><\/li>\n
            4. 1884 cm<\/span>2<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

              Pembahasan:<\/i><\/b><\/p>\n

              Untuk mencari luas, yang kita butuhkan adalah jari-jari. Untuk itu, kita perlu mencari panjang jari-jari dengan membagi dua diameter.<\/span><\/p>\n

              \"5<\/a>
              \nSetelah mendapatkan panjang jari-jari, kita dapat langsung memasukannya ke dalam rumus mencari luas.<\/p>\n

              \"5<\/a>
              \nDengan demikian, jawaban yang tepat adalah pilihan <\/span>C<\/b>.<\/span><\/p>\n

                \n
              1. Panjang diagonal sisi sebuah kubus adalah 8<\/span>\u221a<\/span>2 cm. Jumlah panjang seluruh rusuk kubus tersebut adalah \u2026<\/span>\n
                  \n
                1. 8 cm<\/span><\/li>\n
                2. 16 cm<\/span><\/li>\n
                3. 64 cm<\/span><\/li>\n
                4. 96 cm<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                  Pembahasan:<\/i><\/b><\/p>\n

                  Untuk mencari yang ditanya (panjang seluruh rusuk), kita butuh mengetahui panjang rusuknya, bukan panjang diagonal sisinya. Ingatlah rumus <\/span>Pythagoras<\/span><\/i> karena bentuk sisi kubus yang merupakan persegi dengan sudut yang pastilah siku-siku. Selain memiliki sudut siku-siku, kita juga harus mengingat bahwa segitiga yang terbentuk pada sisi kubus merupakan segitiga siku-siku sama kaki, sehingga untuk mengetahui panjang rusuknya, kita hanya perlu menyingkirkan <\/span>\u221a<\/span>2 di belakang bilangan 8. Dengan demikian, panjang rusuk kubusnya adalah <\/span>8 cm<\/b>.<\/span><\/p>\n

                  Kemudian, kita dapat mengetahui panjang seluruh rusuk kubus dengan mengalikan panjang rusuk dengan jumlah rusuk kubus (12).<\/span><\/p>\n

                  \"5<\/a><\/p>\n

                  Dengan demikian, jawaban yang tepat adalah pilihan <\/span>D<\/b>.<\/span><\/p>\n

                    \n
                  1. Diketahui balok dengan panjang 10 cm, lebar 7 cm dan tinggi 4 cm. Luas permukaan balok tersebut adalah \u2026<\/span>\n
                      \n
                    1. 138 cm<\/span>2<\/span><\/li>\n
                    2. 276 cm<\/span>2<\/span><\/li>\n
                    3. 280 cm<\/span>2<\/span><\/li>\n
                    4. 490 cm<\/span>2<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                      Pembahasan:<\/i><\/b><\/p>\n

                      Kita telah mengetahui panjang, lebar dan tinggi balok tersebut. Berarti, kita hanya perlu memasukannya ke dalam rumus luas permukaan balok.<\/span><\/p>\n

                      \"5<\/a><\/p>\n

                      Dengan demikian, jawaban yang tepat adalah pilihan <\/span>B<\/b>.<\/span><\/p>\n

                      Tips Menghapal Rumus Matematika dengan Cepat dan Tepat!<\/a><\/h3>\n

                      Gimana, Quipperian? Rumus dan perhitunganmu sudah benar, belum? Jika belum, jangan menyerah, ya, kamu pasti bisa menaklukannya, kok! Coba perlahan tapi pasti, ya. Selamat berhitung!<\/span><\/p>\n

                      Penulis: Evita Djakaria<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"

                        Hai, Quipperian! Soal dalam pelajaran Matematika memang sering tricky, setuju nggak? Apalagi, soal tentang bangun datar dan bangun ruang. Misalnya, lingkaran. Salah-salah, kamu…<\/p>\n","protected":false},"author":156446345,"featured_media":97642,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[679384888,679384865],"tags":[],"ppma_author":[679386822],"class_list":["post-95842","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mapel","category-matematika"],"acf":[],"yoast_head":"\n5 Contoh Soal Matematika SMP kelas 9 tentang Bangun Datar-Bangun Ruang dan Pembahasannya<\/title>\n<meta name=\"description\" content=\"Quipperian, soal dalam pelajaran Matematika SMP memang sering tricky, setuju nggak? 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