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Calculate the Volumes of Prisms

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

'Calculate the Volumes of Prisms' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

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.


pile of crayons with shaped as prisms


a prism


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


triangular prism


The volume is how much room it takes up inside!


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


triangular prism


Let's try a question!



Calculate the volume of the pentagonal prism:


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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