# Calculate the Volumes of Prisms

In this worksheet, students will calculate the volumes of prisms.

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:

#### Worksheet Overview

In this activity, we will learn how to calculate the volume of a prism.

A prism is a:

3D shape which has the same cross-section running through it.

If we sliced it anywhere along the cross-section we would get the same shape as the ends.

The volume is how much room it takes up inside!

To find it we multiply the area of the cross-section by the length.

Let's try a question!

Example

Calculate the volume of the pentagonal prism:

The cross-section is a pentagon.

That means if we slice it, the slices would be pentagons all the way through!

Volume = Area of cross-section x length

Volume = 40 x 15

Volume = 600 cm3

Let's do some questions!

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