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Diketahui prisma dengan alas segitiga sama sisi. panjang rusuk alas 6cm dan tinggu prisma 11cm. volume prisma?

Adlh

2 Answers

Rating
  • ?
    Lv 6
    7 years ago
    Favorite Answer

    volume prisma = Luas alas x tinggi

    kalau mencari luas alas memakai cara trigonometri

    La = akar dari s (s-a) (s-b) (s-c) ==> s = 1/2 kll (kll = 6 +6+6 = 18, s = 9)

    La = akar dari 9 (9-6) (9-6) (9-6)

    La = akar dari 9 x 3 x 3 x 3

    La = akar dari 243

    La = 9 akar 3

    V = la x t

    V = 9V3 x 11

    V = 99V3 (99 akar 3)

    jadi volume prisma tersebut adalah 99 akar 3 cm^3

    Source(s): Hitungan sendiri & pelajaran disekolah
  • tinggi segitiga alas = √(6^2 - 3^2) = 3 √3

    luas alas = 0,5 * 6 * 3√3 = 9 √3

    volum prisma = 9 √3 * 11 = 99 √3

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