Question

the area of one face of a cube is 144 cm2 . determine the volume of the cube.

Answer 1

Given ,

lateral surface area of a cube = 144

lateral surface area of a cube = 4 × a²

where a is the side

so,

according to the question,

4a² = 144

a² = 144/4

a² = 36

a = √36

a = 6 cm

so, side of cube = 6 cm

____________________

diagonal = √3(a)

where ,

a is the side of cube