# A pyramid with a square base has a volume of 125 cubic feet and a height (h) of 15 feet, as shown in the figure.What is the area of the pyramid’s square base?

25 square feet

Explanation

The volume of a pyramid with a square base $$\frac{1}{3}\mathrm{e}^{2 } \times \text {height}$$

Given a volume of 125 and height of 15, here is how you can solve for $$\mathrm{e}^{2}$$:
$$125= \frac{1}{3}\mathrm{e}^{2 } \times 15$$
$$375=15 \mathrm{e}^{2}$$
$$25=e^{2}$$