{"id":218,"date":"2023-08-07T01:31:33","date_gmt":"2023-08-07T01:31:33","guid":{"rendered":"https:\/\/rumusmatematika.id\/?p=218"},"modified":"2023-11-17T06:46:15","modified_gmt":"2023-11-17T06:46:15","slug":"rumus-volume-prisma-dan-luas-permukaan","status":"publish","type":"post","link":"https:\/\/tuturpedia.com\/rumusmatematika\/rumus-volume-prisma-dan-luas-permukaan\/","title":{"rendered":"7 Rumus Volume Prisma Dan Luas Permukaan"},"content":{"rendered":"

Rumus Volume Prisma Dan Luas Permukaan<\/a><\/h2>\n

Prisma<\/a> adalah bangun ruang yang memiliki dua bidang alas yang sejajar dan sisi-sisi yang merupakan segiempat. Rumus-rumus untuk menghitung volume dan luas permukaan prisma bergantung pada jenis prisma tersebut. Di sini, kita akan membahas rumus volume dan luas permukaan untuk prisma segiempat, yang merupakan prisma yang memiliki alas berbentuk segiempat.<\/p>\n

\"Rumus
Rumus Volume Prisma Dan Luas Permukaan<\/figcaption><\/figure>\n

Rumus Volume Prisma Segiempat<\/h3>\n

Volume prisma segiempat dapat dihitung dengan rumus:<\/p>\n

\ufffd=\ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd\u00d7\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd<\/span>V<\/span>=<\/span><\/span>Lu<\/span>a<\/span>s<\/span>A<\/span>l<\/span>a<\/span>s<\/span>\u00d7<\/span><\/span>T<\/span>in<\/span>gg<\/span>i<\/span><\/span><\/span><\/span><\/span><\/p>\n

Di mana:<\/p>\n

    \n
  • \ufffd<\/span>V<\/span><\/span><\/span><\/span><\/span> adalah volume prisma.<\/li>\n
  • \ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd<\/span>Lu<\/span>a<\/span>s<\/span>A<\/span>l<\/span>a<\/span>s<\/span><\/span><\/span><\/span><\/span> adalah luas bidang alas (bentuk segiempat).<\/li>\n
  • \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd<\/span>T<\/span>in<\/span>gg<\/span>i<\/span><\/span><\/span><\/span><\/span> adalah tinggi prisma, yaitu jarak antara dua alas yang sejajar.<\/li>\n<\/ul>\n

    Contoh: Jika kita memiliki prisma segiempat dengan alas berbentuk persegi panjang yang panjangnya \ufffd<\/span>l<\/span><\/span><\/span><\/span><\/span>, lebarnya \ufffd<\/span>w<\/span><\/span><\/span><\/span><\/span>, dan tinggi prisma \u210e<\/span>h<\/span><\/span><\/span><\/span><\/span>, maka rumus volumenya menjadi:<\/p>\n

    \ufffd=\ufffd\u00d7\ufffd\u00d7\u210e<\/span>V<\/span>=<\/span><\/span>l<\/span>\u00d7<\/span><\/span>w<\/span>\u00d7<\/span><\/span>h<\/span><\/span><\/span><\/span><\/span><\/p>\n

    Rumus Luas Permukaan Prisma Segiempat<\/h3>\n

    Luas permukaan prisma segiempat dapat dihitung dengan rumus:<\/p>\n

    \ufffd=2\u00d7\ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd+\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd\u00d7\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd<\/span>L<\/span>=<\/span><\/span>2<\/span>\u00d7<\/span><\/span>Lu<\/span>a<\/span>s<\/span>A<\/span>l<\/span>a<\/span>s<\/span>+<\/span><\/span>Ke<\/span>l<\/span>i<\/span>l<\/span>in<\/span>g<\/span>A<\/span>l<\/span>a<\/span>s<\/span>\u00d7<\/span><\/span>T<\/span>in<\/span>gg<\/span>i<\/span><\/span><\/span><\/span><\/span><\/p>\n

    Di mana:<\/p>\n

      \n
    • \ufffd<\/span>L<\/span><\/span><\/span><\/span><\/span> adalah luas permukaan prisma.<\/li>\n
    • \ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd<\/span>Lu<\/span>a<\/span>s<\/span>A<\/span>l<\/span>a<\/span>s<\/span><\/span><\/span><\/span><\/span> adalah luas bidang alas (bentuk segiempat).<\/li>\n
    • \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd<\/span>Ke<\/span>l<\/span>i<\/span>l<\/span>in<\/span>g<\/span>A<\/span>l<\/span>a<\/span>s<\/span><\/span><\/span><\/span><\/span> adalah jumlah panjang semua sisi alas.<\/li>\n
    • \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd<\/span>T<\/span>in<\/span>gg<\/span>i<\/span><\/span><\/span><\/span><\/span> adalah tinggi prisma.<\/li>\n<\/ul>\n

      Contoh: Untuk prisma segiempat dengan alas berbentuk persegi panjang, jika panjang alas adalah \ufffd<\/span>l<\/span><\/span><\/span><\/span><\/span>, lebar alas adalah \ufffd<\/span>w<\/span><\/span><\/span><\/span><\/span>, dan tinggi prisma adalah \u210e<\/span>h<\/span><\/span><\/span><\/span><\/span>, maka rumus luas permukaannya menjadi:<\/p>\n

      \ufffd=2\ufffd\ufffd+2\ufffd\u210e+2\ufffd\u210e<\/span>L<\/span>=<\/span><\/span>2<\/span>lw<\/span>+<\/span><\/span>2<\/span>l<\/span>h<\/span>+<\/span><\/span>2<\/span>w<\/span>h<\/span><\/span><\/span><\/span><\/span><\/p>\n

      Kesimpulan<\/h3>\n

      Rumus volume prisma segiempat adalah \ufffd=\ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd\u00d7\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd<\/span>V<\/span>=<\/span><\/span>Lu<\/span>a<\/span>s<\/span>A<\/span>l<\/span>a<\/span>s<\/span>\u00d7<\/span><\/span>T<\/span>in<\/span>gg<\/span>i<\/span><\/span><\/span><\/span><\/span>, sedangkan rumus luas permukaannya adalah \ufffd=2\u00d7\ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd+\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\u2009\ufffd\ufffd\ufffd\ufffd\u00d7\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd<\/span>L<\/span>=<\/span><\/span>2<\/span>\u00d7<\/span><\/span>Lu<\/span>a<\/span>s<\/span>A<\/span>l<\/span>a<\/span>s<\/span>+<\/span><\/span>Ke<\/span>l<\/span>i<\/span>l<\/span>in<\/span>g<\/span>A<\/span>l<\/span>a<\/span>s<\/span>\u00d7<\/span><\/span>T<\/span>in<\/span>gg<\/span>i<\/span><\/span><\/span><\/span><\/span>. Ini memberikan dasar untuk menghitung berbagai parameter prisma segiempat, yang bisa sangat berguna dalam berbagai konteks matematika dan aplikasi fisika atau teknik.<\/p>\n","protected":false},"excerpt":{"rendered":"

      Rumus Volume Prisma Dan Luas Permukaan Prisma adalah bangun ruang yang memiliki dua bidang alas yang sejajar dan sisi-sisi yang […]<\/p>\n","protected":false},"author":1,"featured_media":390,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[792,53,777,780,787,783,788,782,781,789,785,784,776,774,778,790,779,775,786,773,791],"class_list":["post-218","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-rumus-matematika","tag-contoh-soal-luas-permukaan-prisma-segitiga","tag-keyword","tag-luas-permukaan-prisma","tag-luas-permukaan-prisma-segitiga","tag-luas-prisma","tag-luas-prisma-segitiga","tag-prisma-segiempat","tag-rumus-luas-permukaan-prisma","tag-rumus-luas-permukaan-prisma-segitiga","tag-rumus-luas-prisma","tag-rumus-luas-prisma-segitiga","tag-rumus-prisma-segi-empat","tag-rumus-prisma-segi-tiga","tag-rumus-prisma-segitiga","tag-rumus-volume-prisma","tag-rumus-volume-prisma-segi-empat","tag-rumus-volume-prisma-segitiga","tag-volume-prisma","tag-volume-prisma-segi-empat","tag-volume-prisma-segitiga","tag-volume-segitiga"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/posts\/218","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/comments?post=218"}],"version-history":[{"count":5,"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/posts\/218\/revisions"}],"predecessor-version":[{"id":695,"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/posts\/218\/revisions\/695"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/media\/390"}],"wp:attachment":[{"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/media?parent=218"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/categories?post=218"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tuturpedia.com\/rumusmatematika\/wp-json\/wp\/v2\/tags?post=218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}