Question

if the surface area of cube is 96cm2 find its volume

Answer 1

Surface area of a cube = 96 cm2
Surface area of a cube = 6 (Side)2 = 96 ⇒  (Side)2 = 16
⇒ (Side) = 4 cm
[taking positive square root because side is always a positive quantity]
Volume of cube = (Side)3 = (4)3 = 64 cm3
Hence, the volume of the cube is 64 cm3.

Answer 2

TSA of cube = 6s²=96
:. s²=16
:.s=4

Vol. of cube= s³
:. Vol. = 4³= 64
Hope it helped!!!