# Comparing the Volume of Prisms and Pyramids

- Author:
- Dan Dale, tmoorehead

## Use the first slider to change the side length to 6 and use the second slider to change the height to 4.

1) What is the volume of the rectangular prism? 2) What is the volume of the rectangular pyramid? 3) What fractional part is the volume of the pyramid compared to the volume of the prism?

## Use the first slider to change the side length to 5 and use the second slider to change the height to 3.

1) What is the volume of the rectangular prism? 2) What is the volume of the rectangular pyramid? 3) What fractional part is the volume of the pyramid compared to the volume of the prism?

## The formula for the Volume of a Prism is V = Bh, where B is the area of the base.

If the formula for the Volume of a Prism is V = Bh, where B is the area of the base, then what is the formula used to find the volume of a Pyramid?

## Figure 1.

## Figure 2.

## Figure 3.

## Figure 4. Find the Volume of the Regular Hexagonal Pyramid. Remember to calculate the area of a regular polygon using the formula A = 1/2aP. This problem is challenging!

## Volume Answers to Figures 1 through 4.

The Volume of Figure 1 is ________________. The Volume of Figure 2 is ________________. The Volume of Figure 3 is ________________. The Volume of Figure 4 is ________________.