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Volume (F)

Understand volume in GCSE Maths: use V = area of base × height for prisms, calculate cubes and cylinders, convert between cm³, m³ and litres.

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Fascinating Fact:

In a milk cube thought experiment, a cube 10 cm by 10 cm by 10 cm has volume = 1000 cm³ which equals 1 L, the classic litre cube.

In GCSE Maths, volume measures the space a 3D shape occupies. You’ll use formulas for prisms (area of cross-section × length), work with cubes and cylinders, and convert between cm³, m³ and litres.

Key Terms

Volume: The space inside a 3D shape, measured in cubic units such as cm³ or m³.
Prism: A solid with a constant cross-section; volume = area of cross-section × length (height).
Capacity: How much a container can hold; 1 cm³ = 1 mL and 1000 cm³ = 1 L.

Frequently Asked Questions (Click to see answers)

How do I find the volume of a cube or cuboid?

For a cuboid, use V = length × width × height. For a cube of side a, V = a³. Keep units consistent (e.g., all in cm).

What is the difference between volume and capacity?

Volume is the space a solid occupies (cm³, m³). Capacity is how much a container holds (mL, L). Numerically, 1 cm³ equals 1 mL and 1000 cm³ equals 1 L.

How do I convert between cm³, m³ and litres?

Use 1 cm³ = 1 mL, 1000 cm³ = 1 L, and 1 m³ = 1000 L = 1,000,000 cm³. Convert first, then calculate if needed.