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Jawab:
Diketahui : Keliling alas prisma = 18 cm
tinggi prisma = 5√3 cm
Ditanya : Volume Prisma
Penyelesaian:
Prisma alasnya bentuk segitiga sama sisi yang kelilingnya 18 cm
tinggi alas ⇒ t² = 6² - 3²
= 36 - 9
= 27
t = √27 = √9 × 3 = 3√3
Luas alas = 1/2 × alas Δ × tinggi Δ
= 1/2 × 6 × 3√3
= 9√3 , maka
Volume Prisma = Luas alas (Δ) × tinggi prisma
= 9√3 × 5√3
= 9 × 5 × 3
= 135 cm³