### Home > MC2 > Chapter 11 > Lesson 11.3.1 > Problem11-85

11-85.

Volume of a prism = (area of base)(height)

Find the volume if the area of the base is 96 square inches and the height is 25 inches.

Volume = (96 in2)(25 in) = 2400 in3

Using the formula for volume of a prism,
V = (area of base)(height) create an expression to solve for the height.

$\text{The volume of a pyramid is }\frac{1}{3} \text{ the volume of a}$

$\text{prism with the same base and height.}$

2400 = (80)(height)

Height = 30 in