The edge of one is 4cm longer than the edge of a second cube. The volume of the cubes differ by 316m square. Find the length of each cube

Anyone that answers I will mark as brilliant

The sides are 3 and 7 cm long.

Step-by-step explanation:

Let the lengths be x and x+4 cm, then

(x + 4) ^3 - x^3 = 316

x^3 + 12x^2 + 48x + 64 - x^3 = 316

12x^2 + 48x + 64 - 316 = 0

12x^2 + 48x - 252 = 0

12 (x^2 + 4x - 21) = 0

12 (x + 7) (x - 3) = 0

x = - 7, 3

So one cube has side of length 3 cm.

The other has side 3+4 = 7 cm.