prisma dengan alas trpesium sama kaki.panjang AB = 6 cm,BC = AD = 5 cm,CD = 14 cm,dan AE = 15 cm.luas permukaan prisma adalah? (A.450 cm2) (C.500 cm2)
Matematika
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Pertanyaan
prisma dengan alas trpesium sama kaki.panjang AB = 6 cm,BC = AD = 5 cm,CD = 14 cm,dan AE = 15 cm.luas permukaan prisma adalah?
(A.450 cm2) (C.500 cm2)
(B.480 cm2) (D.510 cm2)
(A.450 cm2) (C.500 cm2)
(B.480 cm2) (D.510 cm2)
1 Jawaban
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1. Jawaban edosetiabudi
Tinggi trapesium
= √5² - ((14-6)/2)²
= √25-16
= √9
= 3 cm
Luas alas = 1/2 (14+6) x 3
= 1/2 x 20 x 3
= 30 cm²
Volume prisma = Luas alas x tinggi
= 30 x 15
= 450 cm³
Luas permukaan
= 2xluas alas + kelilingxtinggi
= 2x30 + (6+5+5+14)x15
= 2x30 + 30x15
= 60 + 450
= 510 cm²