Question

A wooden box is shaped like a right rectangular prism. The length of the base of the box is 15 inches. The width of the base of the box is 9 inches. The volume of the box is 3,645 cubic inches. What is the height, in inches, of the box?

Answer 1

27 inches

Explanation:

Volume is equal to length x width x height.

Here's what we know:

Length = 15

Width = 9

Height = x

Volume = 3645

So what we can do to find the height (x) of the box is divide the volume by the length and the width.

3645 ÷ 15 ÷ 9 = 27 inches

Answer 2

27 inches

Explanation:

Length= 15 Inches

Width= 9 Inches

Height= ? Inches

Volume= 3645 cubic inches

Let the height be x

Volume= L x B x H

3645 = 15 x 9 x (x)

3645 = 135 x (x)

x = 3645/135 (Transposition method)

x= 27 inches

Hence, the height of the wooden box is 27 inches.