Question

A company is designing a juice box. The box is in the shape of a rectangular prism. The base of the box is 6 1 2 inches by 4 1 2 inches, and the box is 4 inches high. If juice fills 90% of the box's volume, find the volume of juice in the box. The volume of the juice in the box is in.3

Answer 1

Answer: The volume of the juice in the box is 105.3 in.3

Explanation:

Hi, the correct measures of the box in the question are 6 1/2 inches and 4 1/2 inches.

To answer this question we have t apply the next formula:

Volume of a rectangular prism: Length x width x height

Replacing with the values given:

V = 6 1/2 x 4 1/2 x 4 = 117 in3

Since juice fills 90% of the box's volume, we have to multiply the volume of the box by the percentage of the box filled with juice in decimal form (divided by 100).

117 x (90/100) = 105.3 in3

Answer 2

Explanation:

A company is designing a juice box.

The box is in the shape of a rectangular prism.

The base of the box is 6 1/2inches by 4 1/2inches, and the box is 4 inches high.

The volume of rectangular prism=L×W×H

where L is the length=6.5 inch

W is the width=4.5 inch

and H is height=4 inch

volume=6.5×4.5×4

= 117 cubic inch

90% of the box’s volume= 90×117/100

= 105.3 cubic inch

Hence, volume of juice in the box=105.3 cubic inch