Question

A right rectangular prism has a square base and a height of 9 feet. its volume, v, is 144 cubic feet. what is the length of s, the sides of the base?

Answer 1

Volume of the rectangular prism = base area x height

Given that the volume is 144 ft³ and height is 9 ft

volume = base area x height
144 = base area x 9
base area = 144 ÷ 9
base area = 16 ft²

The base is a square which means both sides are of the same length
area = length x length
16 = length²
length = √16
length = 4 ft

s, the side of the base is 4 ft