A box with a square base and no top is to be made from a square piece of carboard

Question

A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 19663 in³. How big a piece of cardboard is needed?

Your answer is:_____   in. by ______  in.

Answer 1

See Mark M's answer.

Here is a drawing (usually helpful):

Answer 2

V = (x - 14)²(7)

19663 = (x - 4)²(7)

Can you solve for x and answer?