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Sebuah prisma segitiga siku-siku memiliki tinggi 10. cm panjang sisi alasnya berturut-turut adalah 3 cm 4 cm 5 cm

Rani Maharani

Soal

Pembahasan

Luas permukaan prisma segitiga siku-siku dapat dihitung dengan rumus L = (2 x Luas Alas) + (Keliling Alas x Tinggi).

Luas alas segitiga siku-siku dapat dihitung dengan rumus 1/2 x alas x tinggi, sehingga luas alas prisma adalah 1/2 x 3 x 4 = 6 cm². Keliling alas segitiga siku-siku dapat dihitung dengan menggunakan teorema Pythagoras, sehingga diperoleh keliling alas sebesar 3 + 4 + 5 = 12 cm.

Dengan demikian, luas permukaan prisma adalah (2 x 6) + (12 x 10) = 132 cm².

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