CPM Homework Help : CC3 Problem 10-42

The pyramid at right has a volume of $312$ cubic feet. If the prism next to it has the same base area and height, what is its volume? Explain how you know.

Pyramid where the base is a trapezoid. A Prism where the base is a trapezoid.

Hint:

Based on your work from this lesson, how are the volumes of a pyramid and a prism related?

Answer:

$936 \text{ ft}^3$
$\text{Volume of a prism}=3$ times the volume of a pyramid with the same base and height