CPM Homework Help : CC3 Problem 10-27

What is the volume of a hexagonal-based prism with a height of $12$ in. and a base area of $62 \text{ in.}^2$ ? Would the volume be different if the base were a pentagon with an area of $62 \text{ in.}^2$ ? Explain.

Hint:

$\text{Volume of a prism = (area of base)(height)}$

Even if the base shape changes, if the area of the base and height remains the same, would the volume be different?

Answer:

The volume of each prism would be $744 \text{ in}^3$ . The shape of the base does not matter as long as the base area is the same.