Question

Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of

12 ft. 3 Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16 ft.3 What are the widths of Kyle and Myla's boxes? Explain how you know.

Answer 1

both boxes are 2 ft wide

Explanation:

The volume of a rectangular prism is given by the formula ...

V = LWH

When three of the four variables are known, the fourth can be found as ...

W = V/(LH)

__

Kyle's box

W = (12 ft³)/((2 ft)(3 ft)) = 12/6 ft = 2 ft

The width of Kyle's storage box is 2 ft.

__

Myla's box

W = (16 ft³)/((4 ft)(2 ft)) = 16/8 ft = 2 ft

The width of Myla's storage box is 2 ft.