Foundation & Higher

Volume and surface area: GCSE Maths revision

Volume of a prism is area of the cross-section × length. Cylinders, spheres and cones have their own formulae — learn which are on the sheet.

Prisms and cylinders

V = Al    Vcylinder = πr²h

Cuboid 4 × 3 × 5

Volume = 60

Try these questions

Cover the answers and have a go first. Worked solutions are underneath.

Question 1 [1 mark]

Volume of a cuboid 2 cm × 3 cm × 10 cm

Question 2 [2 marks]

Volume of a cylinder r = 3, h = 4, in terms of π

Question 3 [2 marks]

A triangular prism has cross-section area 12 cm² and length 9 cm. Volume?

Common mistakes

Answers and working

Q1. 60 cm³
Q2. 36π
Q3. 108 cm³

Frequently asked questions

What is a prism?

A 3D shape with the same cross-section all the way along its length.

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