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Surface Area (F)

What connects a birthday present to a maths quiz about surface area? Play the quiz and find out...

Surface Area (F)

Get confident with surface area: find areas of prisms, cubes, cuboids and cylinders by unfolding nets, calculating faces, and using formulas with correct units.

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Fascinating Fact:

In a Minecraft build, a cube block of side 6 cm has surface area = 6a², so SA = 6 × 6² = 6 × 36 = 216 cm². Six identical square faces.

In GCSE Maths (Foundation), surface area questions often use nets or formulas for familiar solids. You’ll add the areas of the faces of cubes, cuboids, prisms and cylinders, taking care with units.

Key Terms

Surface area: The total area of all outer faces of a 3D shape.
Net: A 2D layout of every face that folds to make the 3D shape.
Lateral surface: The “side” area of a solid, not including its top and bottom faces.

Frequently Asked Questions (Click to see answers)

How do I find the surface area of a cube?

Use SA = 6a² where a is the edge length. Each face is a square of area a² and there are six identical faces.

What is the surface area formula for a cylinder?

SA = 2πr² + 2πrh. That is two circular ends (2πr²) plus the curved area (2πrh), where r is radius and h is height.

Which units should I use for surface area?

Use square units such as cm² or m². Convert all lengths to the same unit before calculating and state the units in your answer.

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You can find more about this topic by visiting BBC Bitesize - 2-dimensional shapes

Author: Sally Thompson (MSc Operational Research, Secondary Maths Teacher & Quiz Writer)

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