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 33 square inches and a height of 4 inches. The other container is a triangular prism with a base area of 34 square inches and a height of 5 inches. Complete the explanation on which is a better deal.

Answer 1

Answer:

Triangular prism is better deal as the volume of triangular prism is greater.

Step-by-step explanation:

Consider the provided information.

The volume of prism is: $V=Bh$

Where B is the base area and h is the height of the prism.

It is given that the trapezoidal prism with a base area of 33 square inches and a height of 4 inches.

The volume of the trapezoidal prism is:

$V=33(4)\\V=132$

Hence, the volume of trapezoidal prism is 132 in³.

Now calculate the volume of triangular prism with a base area of 34 square inches and a height of 5 inches.

The volume of the triangular prism is:

$V=34(5)\\V=170$

Hence, the volume of the triangular prism is 170 in³.

Triangular prism is better deal as the volume of triangular prism is greater.