Question

Janiya has a shoebox with a volume of 609 cubic inches. The length of the shoebox is 14.5 inches and the width is 7 inches. What is the height of the shoebox? Group of answer choices

Answer 1

6 inches

Explanation:

Hi there!

`V=lwh` where l is the length, w is the width and h is the height of a rectangular prism

Plug in the volume (609), length (14.5) and width (7)

`609=(14.5)(7)h\\609=(101.5)h`

Divide both sides by 101.5 to isolate h

`(609)/(101.5) =(101.5h)/(101.5) \\6=h`

Therefore, the height of the shoebox is 6 inches.

I hope this helps!