Question

A box in the shape of a rectangular prism is approximately 9 inches long,has an equilateral triangle shaped base with side lengths of 3 inches. The height of the triangular shaped base is 2.5 inches. How many cubic inches of styrofoam peanuts can can be place inside the container?

Answer 1

33.75 cubic inches of styrofoam can be placed inside the container.

Explanation:

Based on given information, the volume of the prism (
), in cubic inches, is determined by using this formula:

(1)

Where:

- Base of the triangular face, in inches.

- Height of the triangular face, in inches.

- Length of the prism, in inches.

If we know that
,
and
, then the volume of the prism is:

33.75 cubic inches of styrofoam can be placed inside the container.