Question

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the length of a side of the base of the box.
Write a polynomial function in factored form modeling the volume V of the box.

Answer 1

Function is in the attachment below.

Answer 2

V = (l)(w)(h)
V = (x)(x)(20-x)
V = x²(20-x)
V = -x³ + 20x²