 # Cubes and Cuboids: Calculate Volumes

In this worksheet, students must calculate the volume of the given cubes and cuboids. Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  3D Shapes

Difficulty level:   ### QUESTION 1 of 10

You should know the following formulae to work out the volumes of these shapes:

Cube You 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 You must know:

• the length
• the width
• the height

Volume of cuboid = length × width × height

Example 1

Calculate the volume of this cuboid in cm3. 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

Example 2

Calculate the volume of this cube in mm3. 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.

Calculate the volume of this cuboid in cm3. 23 cm3

23 cm2

336 cm3

Calculate the volume of this cube in cm3. 125 cm3

15 cm3

not possible to work out volume

Calculate the volume of this cube in mm3. 25 mm3

125 mm3

15 mm3

Calculate the volume of this cuboid in cm3. 160 cm3

22 cm3

800 cm3

Calculate the volume of this cuboid in cm3. 1620 cm3

180 cm3

29 cm3

Calculate the volume of this cuboid in m3. 12 cm3

12 m3

12 m

Calculate the volume of this cube in km3. 8 km2

6 km3

8 km3

Calculate the volume of this cuboid in mm3. 17 mm

17 mm3

135 mm3

Calculate the volume of this cube in mm3. 8100 mm3

7290 mm3

729000 mm3

Calculate the volume of this cuboid in m3. 7 m3

800 m3

8 m3

• Question 1

Calculate the volume of this cuboid in cm3. 336 cm3
EDDIE SAYS
Volume = 12 × 4 × 7 = 336 cm3
• Question 2

Calculate the volume of this cube in cm3. 125 cm3
EDDIE SAYS
Volume = 5 × 5 × 5 = 125 cm3
• Question 3

Calculate the volume of this cube in mm3. 125 mm3
EDDIE SAYS
Volume = 5 × 5 × 5 = 125 mm3
• Question 4

Calculate the volume of this cuboid in cm3. 160 cm3
EDDIE SAYS
Volume = 5 × 8 × 4 = 160 cm3
• Question 5

Calculate the volume of this cuboid in cm3. 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. 12 m3
EDDIE SAYS
Volume = 6 × 2 × 1 = 12 m3
• Question 7

Calculate the volume of this cube in km3. 8 km3
EDDIE SAYS
Volume = 2 × 2 × 2 = 8 km3
• Question 8

Calculate the volume of this cuboid in mm3. 135 mm3
EDDIE SAYS
Volume = 5 × 9 × 3 = 135 mm3
• Question 9

Calculate the volume of this cube in mm3. 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. 8 m3
EDDIE SAYS
Work in metres.
Volume = 2 × 4 × 1 = 8 m3
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