1. Prisma segitiga beraturan ABC DEF, AB= 12 CM, AD= 8 CM. Hitung: a. Luas Prisma dan b. Volume Prisma
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Pertanyaan
1. Prisma segitiga beraturan ABC DEF, AB= 12 CM, AD= 8 CM. Hitung: a. Luas Prisma dan b. Volume Prisma
1 Jawaban
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1. Jawaban Bobb123
AD=BE=CF
BD=AE= CD = CE = FB = AF
* DIAGONAL SISI BD :
= √ AB² + AD²
= √ 12² + 8²
= √ 144 + 64
= √ 208
= √ 16 . 13
= 4√13
* TINGGI ALAS BC :
= √ DIAGONAL SISI² - TINGGI PRISMA²
= √ (4√13)² - 8²
= √ 208 - 64
= √ 144
= 12 cm
* LUAS ALAS :
= (1/2) a. t alas
= (1/2) AB . BC
= (1/2) 12 . 12
= 72 cm²
* LUAS SELIMUT :
= 3 . LUAS SISI TEGAK
= 3. P . L
= 3 . TINGGI PRISMA . AB
= 3 . 8 . 12
= 288 cm²
* LUAS PRISMA :
LP = 2 LUAS ALAS + LUAS SELIMUT
LP = 2 . 72 cm² + 288 cm²
LP = 144 cm² + 288 cm²
LP = 432 cm²
* VOLUME PRISMA :
= LUAS ALAS . TINGGI PRISMA
= 72 cm² . 8 cm
= 576 cm³