Perbandingan panjang, lebar dan tinggi sebuah balok adalah p : l : t = 5 : 2 : 1, jika luas permukaan balok 306 cm², maka tentukan besar volume balok tersebut
Nabilaazhra
Lp Balok = 2 La + Ka x t 306 cm² = 2 ( 5 x 2) + 2 ( 5 + 2 ) x 1 306 cm² = 2 x 10 + 2 x 7 x 1 306 cm² = 20 + 14 306 cm² = 34 cm² = 306 : 34 cm² = 9 cm = 3
306 cm² = 2 ( 5 x 2) + 2 ( 5 + 2 ) x 1
306 cm² = 2 x 10 + 2 x 7 x 1
306 cm² = 20 + 14
306 cm² = 34
cm² = 306 : 34
cm² = 9
cm = 3
p = 5 x 3 = 15
l = 2 x 3 = 6
t = 1 x 3 = 3
V = p x l x t
V = 15 x 6 x 3
V = 270 cm³
sekian smg bsa mmbntu :)
l=2q
t=q
lp balok = 2(p.l + p.t + l.t)
jadi, 2(5q.2q + 5q.q + 2q.q) = 306
5q.2q + 5q.q + 2q.q = 306/2
10q^2 + 5q^2 + 2q^2 = 153
17q^2 = 153
q^2 = 153/17
q^2 = 9
q = 3
*q^2 = q kuadrat
volume balok = p.l.t
p=5.3, l=2.3, t=3
v balok = 15.6.3
= 270 cm^3