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

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

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.