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Understand Volumes of Cubes, Cuboids and Compound Figures

In this worksheet, students will calculate the volume of cubes, cuboids and compound figures.

'Understand Volumes of Cubes, Cuboids and Compound Figures' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:  

Worksheet Overview

Look at the compound figure below.


Think of it as a large cuboid with the dimensions a x b x d with a smaller cuboid of dimensions b x c x b cut out.



a = 10 cm

b = 4 cm

c = 2 cm

d = 6 cm


How would you calculate the volume?   


We would need to find the volume of the large cuboid first and then subtract the volume of the small cut-out cuboid shape.


The large cuboid  has lengths a, b and d, which is 10 x 4 x 6.

10 x 4 x 6 = 240


The smaller cut-out cuboid shape has lengths b, c and b again, which is 4 x 2 x 4

4 x 2 x 4 = 32


So the volume of the shape above is 240 - 32 = 208 cm3


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