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Measurement & Geometry · Guided Practice

Volume of Solids

11 questions with answers and video solutions. Try each one before revealing the answer.

1
A cuboid measures 5\displaystyle 5 cm by 4\displaystyle 4 cm by 3\displaystyle 3 cm.
Calculate its volume.
Video solution coming soon
2
A cylinder has a radius of 3\displaystyle 3 cm and a height of 10\displaystyle 10 cm.
Calculate its volume.
Give your answer to 1 decimal place.
Video solution coming soon
3
A sphere has a radius of 6\displaystyle 6 cm.
Calculate its volume.
Give your answer to 1 decimal place.
Video solution coming soon
4
A hemisphere has a radius of 9\displaystyle 9 cm.
Calculate its volume.
Give your answer to 1 decimal place.
Video solution coming soon
5
A cone has a radius of 5\displaystyle 5 cm and a height of 12\displaystyle 12 cm.
Calculate its volume.
Give your answer to 1 decimal place.
Video solution coming soon
6
A cylindrical water butt has a radius of 20\displaystyle 20 cm and a height of 50\displaystyle 50 cm.
Calculate its volume in litres.
Give your answer to 1 decimal place.
Video solution coming soon
7
2019 P2 Q2
4 Marks

A bottle consists of a cuboid and a cylinder. The dimensions are shown in the diagram.

Diagram showing a bottle consisting of a cuboid base and cylindrical top

Calculate the volume of the bottle.

8
2021 P2 Q4(a)
5 Marks

Colin is spreading a layer of bark in part of his garden. The area of the garden that Colin is covering in bark is shaded in the diagram.

L-shaped garden diagram with measurements

The layer of bark needs to be 50 millimetres deep.

(a) Calculate the volume of bark needed. Give your answer in litres.

9
2022 P2 Q7(b)
4 Marks

Jamel has a fish tank.
The fish tank is a cuboid with dimensions 30 cm by 30 cm by 42 cm.
The tank has a cylindrical light box at the bottom as shown.

Fish tank with dimensions 30cm by 30cm by 42cm

The cylindrical light box has a diameter of 10 cm and a height of 8 cm.
There is a 2 cm gap between the top of the tank and the water level.
The light box does not hold any water.

(b) Calculate the volume of water in the tank.

10
2024 P1 Q7
3 Marks

A container consists of a cuboid and a triangular prism.

Diagram of a container consisting of a cuboid and a triangular prism with dimensions 20cm, 15cm, 40cm, 50cm, and 20cm

Calculate the volume of the container.
Give your answer in litres.

11
2025 P2 Q5(a)
4 Marks

A sports company sells squash balls.
The balls are in the shape of a sphere with a diameter of 4 cm.
They are sold in cardboard boxes in the shape of a cuboid with dimensions as shown.
Each box contains 2 squash balls.

Cuboid box with dimensions 4.2 cm by 4.2 cm by 8.6 cm

(a) Calculate the volume of empty space in the box.

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