Question

Diketahui balok ABCD. EFGH dengan AB = (x + 1) cm, BC = x cm, dan AC = (x + 2) cm.
Jika tinggi balok 2 cm, volume balok adalah....
a.9 c.42
b.24 d.48

Answer 1

AB = Panjang = (x +1)
BC= Lebar = x
AC = Diagonal panjang dan Lebar=D
t= 2cm

AB² + BC² = D²
(x+1)² + x² = (x +2)²
x² +2x +1 +x² = x² +4x +4
2x -4x +x² = 4-1
x² - 2x -3 = 0
(x - 3) ( x +1)
ambil positif x=3 
x = 3
P = x +1 = 4
L = 3
T = 2
Vol Balok = pxlxt
                   = 4 x 3 x 2
                    = 24cm²