Question

Jamal likes to draw whenever he has spare time during the school day. So, he brings his drawing supplies to each class in a pencil box shaped like a rectangular prism. The pencil box is 13 inches long and 5 inches tall, and it has a volume of 162.5 cubic inches.

Answer 1

Hope this help........

Explanation:

The volume of a rectangular prism V is the product of its length ℓ, width w, and height h.

V=ℓwh

The pencil box is shaped like a rectangular prism. Its length is 13 inches, its height is 5 inches, and its volume is 162.5 cubic inches.

To find how wide the pencil box is, w, you can use the formula for the volume of a rectangular prism.

V

=ℓwh

162.5

=13w5

Solve for w.

162.5

=13w5

162.5

=65w Multiply 13 by 5 x 162.5 x 65 = 65w

65

Divide both sides by 65

2.5

= w Simplify

The pencil box is 2.5 inches wide.