Question

A cell phone manufacturer designed the new packaging shown below that will hold a cell phone, accessories, and an owner's manual. Which is the volume of the new packaging? A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches. The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches. 130 in.3 120 in.3 110 in.3 90 in.3

Answer 1

90 inches³

Explanation:

Given that:

A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches.

The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches

Volume of rectangular prism = (width * length * height)

Volume of smaller prism: ( 5 * 1 * 2) inches = 10inch³

Volume of larger prism : (5 * 4 * (1 +3)) inches

(5 * 4 * (1 +3)) inches = (5 * 4 * 4) inches = 80 inches³

Total volume of the new packaging:

Volume of smaller + volume of larger prism

10 inches³ + 80 inches³ = 90 inches³