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Maths Quiz - Level 5-6 Shapes - Volume and Capacity (Questions)

Volume and capacity compare how much space shapes hold. Use cubes, prisms and cylinders to model real containers and calculate efficiently.

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Fascinating Fact:

The formula for a pyramid’s volume is (1/3) × base area × height. A square-based pyramid with base 6 cm and height 9 cm has volume (1/3) × 36 × 9 = 108 cm³.

In KS3 Maths, you calculate the volume of prisms and pyramids and connect capacity to real containers. You’ll apply formulas, convert between cm³, mL and L, and check that answers are sensible for everyday objects.

Key Terms

Volume: The amount of 3D space a solid occupies, measured in cubic units (e.g., cm³, m³).
Capacity: How much a container can hold, often measured in millilitres (mL) or litres (L).
Prism: A solid with identical parallel ends (bases) and rectangular side faces; volume = area of base × height.

Frequently Asked Questions (Click to see answers)

How do you find the volume of a cuboid in KS3?

Multiply its three dimensions: V = length × width × height. Keep units consistent and give the answer in cubic units such as cm³.

What’s the difference between volume and capacity?

Volume measures the space a solid takes up in cubic units. Capacity measures how much fluid a container holds in mL or L. For water, 1 cm³ equals 1 mL.

How do I calculate the volume of a pyramid?

Use V = (area of base × height) ⁄ 3. Find the base area first, then multiply by the perpendicular height and divide by 3.

Try These Related Quizzes

1.

The volume of a cuboid is calculated using .......

[ ]	length + width + height
[ ]	length x width x height
[ ]	length x width²
[ ]	length x width³

2.

What is the volume of a cuboid with a length of 8 cm, a width of 4 cm and a height of 6 cm?

[ ]	180 cm³
[ ]	18 cm³
[ ]	192 cm³
[ ]	219 cm³

3.

A cuboid has a length of 10 cm, a width of 5 cm and a height of 15 cm. What is its volume?

[ ]	250 cm³
[ ]	500 cm³
[ ]	750 cm³
[ ]	1,000 cm³

4.

A cuboid has a volume of 72 cm³. Its length is 6 cm and its width is 4 cm. What is the height of the cuboid?

[ ]	3 cm
[ ]	4 cm
[ ]	6 cm
[ ]	7 cm

5.

Two cuboids have the same volume. The first measures 10 cm x 3 cm x 4 cm. The second measures 5 cm x 4 cm x what?

[ ]	2 cm
[ ]	4 cm
[ ]	6 cm
[ ]	8 cm

6.

The volume of a cube is 125 cm³. What is the length of each edge of the cube?

[ ]	2.5 cm
[ ]	5 cm
[ ]	12.5 cm
[ ]	25 cm

7.

A tank has a length of 50 cm, a width of 60 cm and a height of 80 cm. How many litres of water can it hold?

[ ]	120 litres
[ ]	180 litres
[ ]	240 litres
[ ]	300 litres

8.

An empty box can hold 100 smaller boxes each measuring 10 cm x 10 cm x 10 cm. How many litres of capacity does the empty box have?

[ ]	10 litres
[ ]	100 litres
[ ]	500 litres
[ ]	1,000 litres

9.

The volume of a cylinder is calculated using .......

[ ]	π r² x length
[ ]	π r³ x length
[ ]	r² x length
[ ]	r³ x length

10.

An oil drum (cylinder) measures 88 cm tall and has a diameter of 60 cm. Approximately how many litres can it hold?

[ ]	49 litres
[ ]	149 litres
[ ]	199 litres
[ ]	249 litres

You can find more about this topic by visiting BBC Bitesize - Volume

Maths Quiz - Level 5-6 Shapes - Volume and Capacity (Answers)

1.

The volume of a cuboid is calculated using .......

[ ]	length + width + height
[x]	length x width x height
[ ]	length x width²
[ ]	length x width³

V = l x w x h (V = lwh)

2.

What is the volume of a cuboid with a length of 8 cm, a width of 4 cm and a height of 6 cm?

[ ]	180 cm³
[ ]	18 cm³
[x]	192 cm³
[ ]	219 cm³

8 x 4 x 6 = 192

3.

A cuboid has a length of 10 cm, a width of 5 cm and a height of 15 cm. What is its volume?

[ ]	250 cm³
[ ]	500 cm³
[x]	750 cm³
[ ]	1,000 cm³

750cm³ = 10 cm x 5 cm x 15 cm (V = l x w x h)

4.

A cuboid has a volume of 72 cm³. Its length is 6 cm and its width is 4 cm. What is the height of the cuboid?

[x]	3 cm
[ ]	4 cm
[ ]	6 cm
[ ]	7 cm

72 cm = 6 cm x 4 cm x 3 cm (V = l x w x h)

5.

Two cuboids have the same volume. The first measures 10 cm x 3 cm x 4 cm. The second measures 5 cm x 4 cm x what?

[ ]	2 cm
[ ]	4 cm
[x]	6 cm
[ ]	8 cm

10 x 3 x 4 = 120 so 5 x 4 x ? = 120
5 x 4 = 20 so 20 x ? = 120
120 ÷ 20 = 6

6.

The volume of a cube is 125 cm³. What is the length of each edge of the cube?

[ ]	2.5 cm
[x]	5 cm
[ ]	12.5 cm
[ ]	25 cm

The cube root of 125 = 5 because 5 x 5 x 5 = 125

7.

A tank has a length of 50 cm, a width of 60 cm and a height of 80 cm. How many litres of water can it hold?

[ ]	120 litres
[ ]	180 litres
[x]	240 litres
[ ]	300 litres

50 cm x 60 cm x 80 cm = 240,000 cm³. Then divide by 1,000 as 1 litre = 1,000 cm³

8.

An empty box can hold 100 smaller boxes each measuring 10 cm x 10 cm x 10 cm. How many litres of capacity does the empty box have?

[ ]	10 litres
[x]	100 litres
[ ]	500 litres
[ ]	1,000 litres

1 litre = 1,000 cm³. Each of the smaller boxes has a volume of 1 litre

9.

The volume of a cylinder is calculated using .......

[x]	π r² x length
[ ]	π r³ x length
[ ]	r² x length
[ ]	r³ x length

Work out the are of the circle on a cylinder using ? r² then times by the length of the cylinder

10.

An oil drum (cylinder) measures 88 cm tall and has a diameter of 60 cm. Approximately how many litres can it hold?

[ ]	49 litres
[ ]	149 litres
[ ]	199 litres
[x]	249 litres

60 cm diameter = 30 cm radius. 30² = 900. 900 x 3.142 (?) = 2,827.8 Multiply this by 88 (height or length) = 248,846 cm³ or approximately 249 litres