Question

perhatikan gambar prisma dengan alas trapesium sama kaki!
Luas seluruh permukaan prisma adalah ​

Answer 1

[tex]tt = \sqrt{ {c}^{2} - ( { \frac{a - b}{2} )}^{2} } \\ \sqrt{ {5}^{2} -( { \frac{12 - 6}{2} )}^{2} } = \sqrt{ {5}^{2} - {3}^{2} } \\ \sqrt{25 - 9} = \sqrt{16} = 4 \\ \\ LP \: prisma \: trapesium \\ tt(a + b) + tp(a + b + c + c) \\ 4(12 + 6) + 15(12 + 6 + 5 + 5) \\ 4(18) + 15(28) \\ 72+ 420 \\ 492 \: {cm}^{2} [/tex]

Answer 2

Verified answer

Penjelasan dengan langkah-langkah:

cari tinggi alas

t² = 5² -(12-6×1/2)²

t² = 25 - 3²

t² = 25 - 9

t² = 16

t = 4 cm

Luas alas dan atap

L = ((6×4)+(4×3))×2

L = 24 + 12 × 2

L = 72 cm

Lp = 72 + (5×15×2) + (6×15) + (15×12)

Lp = 72 + 150 + 90 + 180

Lp = 492 cm²