tolonh dibantu ya kk

Diketahui :
Prisma tegak alasnya belah ketupat
d1 = 24 cm
d2 = 10 cm
Luas permukaan prisma = 864 cm²

Ditanya : Volume prisma ?

Penyelesaian :
*Luas belah ketupat*
= 1/2 . d1 . d2
= 1/2 . 24 . 10
= 120 cm²

s = √[(1/2d1)² + (1/2d2)²]
s = √[(1/2. 24)² + (1/2 . 10)²]
s = √(12² + 5²)
s = √169
s = 13 cm

*Keliling belah ketupat*
= 4 x s
= 4 x 13
= 52 cm

*Tentukan Tinggi Prisma (T)*
L perm prisma = 2 . L alas + K alas x T
864 cm² = 2 . 120 cm² + 52 cm x T
864 cm² = 240 cm² + 52T
864 - 240 = 52T
624 = 52T
T = 12 cm

Jadi, Volume Prisma ?
→ V = Luas alas x T prisma
→ V = 120 cm² x 12 cm
→ V = 1440 cm³ [Jawaban B]