# High School Math : How to find the volume of a pyramid in pre-algebra

## Example Questions

### Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square side length of  and a height of ?

Explanation:

To find the volume of a pyramid we must use the equation

We must first solve for the area of the square using

We plug in  and square it to get

We then plug our answer into the equation for the pyramid with

We multiply the result by  to get our final answer for the volume of the pyramid .

### Example Question #2 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square base that has a side length of  and a height of ?

Explanation:

To find the volume of a pyramid we must use the equation

We must first solve for the area of the square using

We plug in  and square it to get

We then plug our answer into the equation for the volume of the pyramid with

It will look like this

We multiply the result to get our final answer for the volume of the pyramid .

### Example Question #3 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square base length of  and a height of ?

Explanation:

To find the volume of a pyramid we must use the equation

We must first solve for the area of the square using

We plug in  and square it to get .

We then plug our answer into the equation for the volume of the pyramid

We multiply the result to get our final answer for the volume of the pyramid

### Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a base area of 9 sqaure centimeters and a height of 4 centimeters?

Explanation:

The volume of a pyramid can be determined using the following equation:

### Example Question #2 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a base length of 5 inches, base width of 6 inches, and height of 8 inches?

Explanation:

The volume of a pyramid can be determined using the equation:

### Example Question #6 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a square-based pyramid with side lengths  and a height of ?

Explanation:

To find the volume of a pyramid, use the equation:

First solve for the base area (which is a square) using

Then subsitute the base area into the volume formula and obtain: