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GCSE Mathematics · key term
The two-dimensional shape exposed when a solid is sliced through.
Used by AQA, Edexcel and OCR
Specification G12, G16 · Paper 1, Paper 2, Paper 3
Revise: 3D ShapesCorresponding vertices on these ends are joined, and its cross-section stays the same shape and size along its length. A prism is named after the polygon at its ends: a triangular prism has triangular ends, while a pentagonal prism has pentagonal ends.
A flat shape made by cutting through a solid; the matching end face of a right prism is a cross-section.
Specification G16 · Paper 1, Paper 2, Paper 3
The two-dimensional shape produced where a plane cuts through a three-dimensional solid.
Revise: Area and Volume FormulaeA cuboid has a rectangular cross-section.
Specification 8.01d, 8.06a · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
The two-dimensional shape exposed by slicing through a solid.
Revise: Solid TerminologyBetween them, its cross-section stays the same. A cross-section is the flat shape revealed by a slice through a solid. To recognise a prism, imagine taking slices parallel to its ends: each slice has the same shape and size.
A slice through a solid; its shape depends on the direction of the cut.
For a prism, calculate the area of one constant cross-section first, then multiply by the perpendicular length of the prism.
Name a prism or pyramid using the shape of its cross-section or base: for example, a triangular prism or square-based pyramid.
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