perbandingan panjang, lebar, dan tinggi sebuah balok adalah p: l : t= 5:2:1. jika luas permukaan balok 306 cm2, maka tentukan volume balok tersebut!

langsung aja y

Lp = 2 (pl + pt + lt)

306 = 2 (5a×2a + 5a×a + 2a + a)

153 = 10a² + 5a² + 2a²

17a² = 153

a² = 153 : 17

a² = 9

a = √9

a = 3

panjang = 5 × 3 = 15 cm
lebar = 2 × 3 = 6 cm
tinggi = 1 × 3 = 3 cm

V = p × l × t
V = 15 × 6 × 3
V = 270 cm³

semoga berguna +_+

p = 5x
l = 2x
t = x

Lp balok = 2pl+2pt+2lt
306 = 2× 5x × 2x + 2 × 5x × x + 2 × 2x × x
306 = 20x² + 10x² + 4x²
306 = 34x²
306/34 = x²
9 = x²
3 = x

p= 5×3 = 15
l = 2×3 = 6
t = 1×3 = 3
V balok = p×l×t
V balok = 15×6×3
V balok = 270cm³