Question

A drawer is shaped like a rectangular prism. it has a length of 17 inches and a height of 6 inches. the volume is 1,428 cubic inches. find the width of the drawer.

Answer 1

Hey there :)

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

`(1428)/(102) = (102p)/(102)`
p = 14

The width is 14 inches

Answer 2

Volume = length x Width x Height

1428 = 17 x Width x 6
1428 = 102 Width
Width = 1428 ÷ 102 = 14

Answer: 14 inches