Diketahui perbandingan panjang , lebar dan tinggi suatu balok adalah 5:3:2. jika volume balok tersebut 1.920cm³ maka luas permukaan balok adalah ................
tolongyaaa di bantu yang bisa.,..................,,,,,,,,
AiriKurnia
5a x 3a x 2a = 1920 30a^3 = 1920 a^3 = 1920 / 30 a^3 = 64 a = 4
p = 5 x 4 = 20 cm l = 3 x 4 = 12 cm t = 2 x 4 = 8 cm
Lpermukaan = (p x l) + (p x t) + (l x t) L = (20 x 12) + (20 x 8) + (12 x 8) L = 240 + 160 + 96 L = 496 cm^2
30a^3 = 1920
a^3 = 1920 / 30
a^3 = 64
a = 4
p = 5 x 4 = 20 cm
l = 3 x 4 = 12 cm
t = 2 x 4 = 8 cm
Lpermukaan = (p x l) + (p x t) + (l x t)
L = (20 x 12) + (20 x 8) + (12 x 8)
L = 240 + 160 + 96
L = 496 cm^2
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Semoga membantu :)
1920 = 5a x 3a x 2a
1920 = 30 a³
a³ = 64
a = ³√64
a = 4
panjang = 5a = 5 ( 4) = 20
lebar = 3 a = 3 ( 4) = 12
tinggi = 2 a = 2 ( 4) = 8
luas permukaan = ( 2 x P x L ) + ( 2 x p x T) + ( 2 x L x T)
= ( 2 x 20 x 12 ) + ( 2 x 20 x 8) + ( 2 x 12 x 8)
= 992