Question

A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.

Answer 1

We know the volume formula of rectangular prism is:

Volume = Length × Width × Height

We are given:

Volume = 1428 in³

Height = 6 in

Length = 17 in

Width = p

Apply the formula!

1428 = 6 × 17 × p

1428 = 102p

Divide by 102 on either side to isolate p

p = 14

The width is 14 inches

Explanation: