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panjang balok = 5/10 × 30 = 15 cm
lebar balok = 3/10 × 30 = 9 cm
tinggi balok = 2/10 × 30 = 6 cm
luas permukaan= 2(15×9) + 2(15×6)+ 2(9×6)
= 270+180+108
= 558 cm²
Perbandingan balok = 5:3:2
Volume = 810 cm³
Maka luas permukaan...?
Jawab
Volume = p.l.t
810 = (5x)(3x)(2x)
810 = 30x³
x³ = 27
x = 3
Panjang = 5(3) = 15
Lebar = 3(3) = 9
Tinggi = 2(3) = 6
Luas permukaan = 2(p.l) + 2(p.t) + 2(l.t)
Lp = 2(15.9) + 2(15.6) + 2(9.6)
Lp = 270 + 180 + 108
Lp = 558 cm²
Maka luas permukaan balok tersebut adalah 558 cm².