# Square Base Pyramid Volume Calculator

Welcome to our Square Base Pyramid Volume Calculator page.

We explain how to find the volume of a square pyramid and provide a quick calculator to work it out for you, step-by-step.

There are also some worked examples and some worksheets for you to practice this skill.

## Square Base Pyramid Volume Calculator

Square Base Pyramid Volume Calculator

### Square Base Pyramid Volume Examples

#### Volume of a Square Base Pyramid Example 1

Find the volume of the square base pyramid below.

The formula for the volume of a square base pyramid is: $V = {1 \over 3} b^2 h$

If we substitute the values of the base width and height into this equation, we get: $A = {1 \over 3} \cdot 6^2 \cdot 8 = {1 \over 3} \cdot 36 \cdot 8 = {1 \over 3} \cdot 288 = 96$

This gives us a final answer of: $V = 96 \;\ cm^3$

#### Volume of a Square Base Pyramid Example 2

Find the volume of the square base pyramid below.

The formula for the volume of a square base pyramid is: $V = {1 \over 3} b^2 h$

If we substitute the values of the base edge and height into this equation, we get: $A = {1 \over 3} \cdot (3 {1 \over 2})^2 \cdot 6 = {1 \over 3} \cdot {39 \over 4} \cdot 6 = {1 \over 3} \cdot {147 \over 2} = {49 \over 2}$

This gives us a final answer of: $V = 24.5 \;\ in^3$

#### Volume of a Square Base Pyramid Example 3

Find the volume of the square base pyramid below. Give your answer correct to 2 decimal places.

The formula for the volume of a square base pyramid is: $V = {1 \over 3} b^2 h$

If we substitute the values of the base edge and height into this equation, we get: $A = {1 \over 3} \cdot (2.3)^2 \cdot 6.4 = {1 \over 3} \cdot 5.29 \cdot 6.4 = {1 \over 3} \cdot 33.856 = 11.285333...$

This gives us a final answer of: $V = 11.29 \;\ cm^3 \; to \; 2 \; decimal \; places$

#### Volume of a Square Base Pyramid Example 4

A giant model bird has a beak which is made up of a square base pyramid on its side. Find the volume of the beak.

The formula for the volume of a square base pyramid is: $V = {1 \over 3} b^2 h$

If we substitute the values of the base edge and height into this equation, we get: $A = {1 \over 3} \cdot (1.2)^2 \cdot 2.6 = {1 \over 3} \cdot 1.44 \cdot 2.6 = {1 \over 3} \cdot 4.032 = 1.248$

This gives us a final answer of: $V = 1.248 \;\ m^3 \;$

### More Recommended Math Resources

Take a look at some more of our worksheets similar to these.

### Looking for more math calculators?

How to Print or Save these sheets 🖶

Need help with printing or saving?