# 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. Example
We want to find the volume of this cuboid in cm³. To find the volume, we calculate 3 cm × 4 cm × 7 cm.
The volume of the cube is 84 cm³ (84 cubic centimetres).

Practice Question
Work out the answer to this question then click to see whether you are correct.
A letter 'T' shape is made by sticking together 2 cuboids as shown in the diagram.
What is the total volume in cm³ of the letter 'T'?  ## Exercises

Work out the answers to the questions below and fill in the boxes. Click on the button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on to see the answer.

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

 (a) cm³  (b) cm³  (c) m³  (d) m³  Question 2
A cuboid has sides of length 5 m, 3 m and 1 m.

(a) What is the volume of the cuboid in m³?  (b) What is the volume of the cuboid in cm³?
cm³  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. cm³  (b) Calculate the volume of the small box. cm³  (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) cm³  (b) cm³  Question 5
Calculate the volume of this cuboid, giving your answer: (a) in m³, using decimals m³  (b) in cm³ cm³  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. cm³  (b) Calculate the volume of cuboid B. cm³  (c) Calculate the total volume of the letter 'L' shape.  Question 7
Calculate the volume of the solid below. cm³  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. cm³  Question 9
The shape in the diagram below can be folded to form a cuboid. Calculate the volume of the cuboid. cm³  You have now completed Unit 22 Section 3
 Your overall score for this section is Correct Answers You answered questions correctly out of the questions in this section. Incorrect Answers There were questions where you used the Tell Me button. There were questions with wrong answers. There were questions you didn't attempt.
 Since these pages are under development, we find any feedback extremely valuable. Click here to fill out a very short form which allows you make comments about the page, or simply confirm that everything works correctly.
Return to the Tutorials Menu

Produced by A.J. Reynolds January 2001