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Cubes and Cuboids: Calculate Volumes

In this worksheet, students must calculate the volume of the given cubes and cuboids.

'Cubes and Cuboids: Calculate Volumes' worksheet

Key stage:  KS 2

Curriculum topic:   Measurement

Curriculum subtopic:   Use Cubes/Cuboids

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

Use the following formulae to work out the volumes of these shapes:

 

Cube

Cube volume

 

We must know: the side length.

 

Remember that the length, the width and the height will all be equal to the side length, because this is a CUBE.

 

Volume of cube = side length × side length × side length

 

 

Cuboid

Cuboid volume

 

We must know: the length; the width; and the height.

 

Volume of cuboid = length × width × height

 

 

 

e.g. Calculate the volume of this cuboid in cm3.

 

 

Answer:

The length is 15 cm, the width is 4 cm and the height is 8 cm.

Volume of cuboid = length × width × height = 15 × 4 × 8 = 60 × 8 = 480 cm3

 

 

 

e.g. Calculate the volume of this cube in mm3.

 

Cube volume

 

Answer:

The side length is 7 cm, so the width and the height are also 7 cm.

This will be 70 mm.

NB: We want the answer in mm3 which is why we should work in mm not cm.

 

Volume of cube = side length × side length × side length = 70 × 70 × 70 = 49 × 7 × 10 × 10 × 10 = 343 × 1000 = 343000 mm3

 

NB: The length, the width and the height are all interchangeable with each other, depending on how you look at a cuboid.

 

 

Want to understand this further and learn how this links to other topics in maths?


Why not watch this video?

 

Calculate the volume of this cuboid in cm3.

 

Cuboid volume

23 cm3

23 cm2

336 cm3

Calculate the volume of this cube in cm3.

 

Cube volume

125 cm3

15 cm3

not possible to work out volume

Calculate the volume of this cube in mm3.

 

Cube volume

25 mm3

125 mm3

15 mm3

Calculate the volume of this cuboid in cm3.

 

Cuboid volume

160 cm3

22 cm3

800 cm3

Calculate the volume of this cuboid in cm3.

 

Cuboid volume

1620 cm3

180 cm3

29 cm3

Calculate the volume of this cuboid in m3.

 

Cuboid volume

12 cm3

12 m3

12 m

Calculate the volume of this cube in km3.

 

Cube volume

8 km2

6 km3

8 km3

Calculate the volume of this cuboid in mm3.

 

Cuboid volume

17 mm

17 mm3

135 mm3

Calculate the volume of this cube in mm3.

 

Cube volume

8100 mm3

7290 mm3

729000 mm3

Calculate the volume of this cuboid in m3.

 

Cuboid volume

7 m3

800 m3

8 m3

  • Question 1

Calculate the volume of this cuboid in cm3.

 

Cuboid volume

CORRECT ANSWER
336 cm3
EDDIE SAYS
Volume = 12 × 4 × 7 = 336 cm3
  • Question 2

Calculate the volume of this cube in cm3.

 

Cube volume

CORRECT ANSWER
125 cm3
EDDIE SAYS
Volume = 5 × 5 × 5 = 125 cm3
  • Question 3

Calculate the volume of this cube in mm3.

 

Cube volume

CORRECT ANSWER
125 mm3
EDDIE SAYS
Volume = 5 × 5 × 5 = 125 mm3
  • Question 4

Calculate the volume of this cuboid in cm3.

 

Cuboid volume

CORRECT ANSWER
160 cm3
EDDIE SAYS
Volume = 5 × 8 × 4 = 160 cm3
  • Question 5

Calculate the volume of this cuboid in cm3.

 

Cuboid volume

CORRECT ANSWER
1620 cm3
EDDIE SAYS
The height is also 9 cm because the end is a square.
Volume = 9 × 9 × 20 = 1620 cm3
  • Question 6

Calculate the volume of this cuboid in m3.

 

Cuboid volume

CORRECT ANSWER
12 m3
EDDIE SAYS
Volume = 6 × 2 × 1 = 12 m3
  • Question 7

Calculate the volume of this cube in km3.

 

Cube volume

CORRECT ANSWER
8 km3
EDDIE SAYS
Volume = 2 × 2 × 2 = 8 km3
  • Question 8

Calculate the volume of this cuboid in mm3.

 

Cuboid volume

CORRECT ANSWER
135 mm3
EDDIE SAYS
Volume = 5 × 9 × 3 = 135 mm3
  • Question 9

Calculate the volume of this cube in mm3.

 

Cube volume

CORRECT ANSWER
729000 mm3
EDDIE SAYS
All the side lengths are 9 cm or 90 mm even though only two of them are shown.
Volume = 90 × 90 × 90 = 9 × 9 × 9 × 1000 = 729000 mm3
  • Question 10

Calculate the volume of this cuboid in m3.

 

Cuboid volume

CORRECT ANSWER
8 m3
EDDIE SAYS
Work in metres.
Volume = 2 × 4 × 1 = 8 m3
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