# Pre-Algebra Practice Questions: Finding the Volume of Pyramids and Cones

The formula for the volume of a pyramid is the same as for the volume of a cone. In this formula, *A _{b}* is the area of the base, and

*h*is the height:

## Practice questions

- Find the volume of a pyramid with a square base whose side is 10 inches and with a height of 6 inches.
- Find the approximate volume of a cone whose base has a radius of 3 inches and whose height is 8 inches.

## Answers and explanations

- 200 cubic inches
First, find the area of the base using the formula for the area of a square:

*A*=_{b}*s*^{2}= (10 in.)^{2}= 100 in.^{2}Now plug this result into the formula for the volume of a pyramid:

- Approximately 75.36 cubic inches
Use the area formula for a circle to find the area of the base:

Plug this result into the formula for the volume of a cone: