Question

Volume of a cube is x^3-6x^2+12x-8, find it's lateral surface area.

Answer 1

Hi ,

Let the side of a cube = a

volume of a cube = a³

= x³ - 6x² + 12x - 8


= x³ - 3 × x² × 2 + 3 × x × 2² - 2³

a³ = ( x - 2 )³

a = x - 2

Lateral surface area = 4a²

= 4 ( x - 2 )² sq units

I hope this helps you.

:)