Question

The surface area of each face of a cube is (x² + 4x + 4) cm². Find (i) the length, (ii) the volume, in expanded form, of the cube.​

Answer 1

(i) The length of each side is x + 2.

(ii) The volume of the cube is

`{(x + 2)}^(3) = {x}^(3) + 3 {x}^(2) (2) + 3x( {2}^(2) ) + {2}^(3) = {x}^(3) + 6 {x}^(2) + 12x + 8`