Question

A movie theater offers popcorn in two different containers for the same price. One container is a trapezoidal prism with a base area of 34 square inches and a height of 5 inches. The other container is a triangular prism with a base area of 35 square inches and a height of 6 inches. Complete the explanation on which is a better deal:

The (_trapezoidal or triangular__) prism is a better deal because you get ______ inches cubed for the same price you would pay for _______ inches cubed with a (_trapezoidal or triangular_) prism.

Answer 1

triangular

Explanation:

Answer 2

Given:
Trapezoidal prism: base area = 34 in² ; height = 5 in
Triangular prism: base area = 35 in² ; height = 6 in

Volume of Trapezoidal prism = base area * height
V = 34 in² x 5 in
V = 170 in³

Volume of Triangular prism = base area * height
V = 35 in² x 6 in
V = 210 in³

The TRIANGULAR prism is a better deal because you get 210 inches cubed for the same price you would pay for 170 inches cubed with a TRAPEZOIDAL prism.