### Home > MC2 > Chapter 10 > Lesson 10.2.5 > Problem10-132

10-132.

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.

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

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

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.