Area and Volume Scale Factors

Part of Transformations: Enlargements · Section 3 of 7

Key FactsUnit: Geometry & MeasuresGCSE
Measurement Scale Factor Example
Length SF SF = 3: length × 3
Area SF² SF = 3: area × 9
Volume SF³ SF = 3: volume × 27

This key facts covers Area and Volume Scale Factors within Transformations: Enlargements for GCSE Mathematics. Revise Transformations: Enlargements in Geometry & Measures for GCSE Mathematics with 15 exam-style questions and 5 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 3 of 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Practice questions for Transformations: Enlargements

Which of the following statements correctly describes an enlargement?

  • A. A transformation that changes the shape of an object but keeps its size the same
  • B. A transformation that changes the size of a shape using a scale factor and a centre of enlargement
  • C. A transformation that always makes a shape bigger
  • D. A transformation that rotates a shape around a fixed point
1 markfoundation

Triangle P has vertices at (2, 1), (6, 1) and (2, 5). Triangle Q has vertices at (4, 2), (12, 2) and (4, 10). Describe fully the single transformation that maps triangle P onto triangle Q.

3 marksstandard

Quick recall flashcards

Scale Factor > 1
Shape gets BIGGER. SF = 2 means all lengths doubled. Only transformation that changes size!
Scale Factor < 1
Shape gets SMALLER. SF = 0.5 means all lengths halved. Still called "enlargement" even though it shrinks!

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