GCSE Maths (AQA)

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Similarity & Surface Area

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Geometry and Measures Mensuration and Calculation

Similarity & Surface Area

5:05 Similarity Calculations
Spec R12 G19
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  • For similar 3D shapes with a length ratio of 1 to n, the ratio of the surface areas is 1 to n squared.
  • Two shapes are similar if one shape is a larger or smaller version of the other.
  • The surface area of a cube can be calculated by multiplying the area of one face by the total number of faces.
  • The surface area ratio of two similar cubes can be found by comparing the length ratio and squaring it.
  • The surface area ratio of the larger cube is 4 times the surface area of the smaller cube.
  • The surface area ratio can be used to calculate the surface area of a larger shape given the surface area of a smaller shape.
  • The surface area of the larger statue is 22.5 meters squared given that the surface area of the smaller statue is 10 meters squared.

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