Question

A right pyramid has a height of 3 inches and a square base with side length of 5 inches. What is the volume of the pyramid?

Answer 1

Answer: 25 in³

Step-by-step explanation:

We can calculate the volume of the pyramid by first calculating the volume of a prism with the same dimensions, and then dividing by 3 (all pyramids a volume that's $\frac{1}{3}$ of the volume of a prism with the same dimensions).

The volume of a prism is its base area times its height. The base would be a square, so its area is 5², which is 25. The height is 3 inches, making the prism's volume 75 in³.

The volume of the pyramid would be one-third of this value, which is 75$75\div3$ which is 25 in³.