Unit 22 Section 3 : Volume of a Cuboid

In this section, we consider the volume of any cuboid.

The volume of a cuboid
Volume of a cuboid = a b c = a b c
where a, b and c are the lengths of the sides of the cuboid.

We want to find the volume of this cuboid in cm.

To find the volume, we calculate 3 cm 4 cm 7 cm.
The volume of the cube is 84 cm (84 cubic centimetres).

Practice Question
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A letter 'T' shape is made by sticking together 2 cuboids as shown in the diagram.
What is the total volume in cm of the letter 'T'?



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Question 1
Calculate the volume of each of the cuboids below.

(a) cm
(b) cm
(c) m
(d) m

Question 2
A cuboid has sides of length 5 m, 3 m and 1 m.

(a) What is the volume of the cuboid in m?

(b) What is the volume of the cuboid in cm?

Question 3
The diagram shows a large box and a small box, both of which are cuboids.


(a) Calculate the volume of the large box.

(b) Calculate the volume of the small box.

(c) How many of the small boxes would fit in the large box?

Question 4
A set of wooden building blocks contains wooden blocks that are 10 cm by 2 cm by 4 cm.
The blocks are used to make the shapes below. Calculate the volume of each shape.

(a) cm
(b) cm

Question 5
Calculate the volume of this cuboid, giving your answer:

(a) in m, using decimals

(b) in cm

Question 6
A letter 'L' shape is made from 2 cuboids, marked A and B in the diagram below.

(a) Calculate the volume of cuboid A.

(b) Calculate the volume of cuboid B.

(c) Calculate the total volume of the letter 'L' shape.

Question 7
Calculate the volume of the solid below.


Question 8
The diagram shows a wooden block that has had a square hole cut through it.
Calculate the volume of wood in the block.

Question 9
The shape in the diagram below can be folded to form a cuboid.
Calculate the volume of the cuboid.

You have now completed Unit 22 Section 3
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Produced by A.J. Reynolds January 2001