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Edexcel IGCSE Math A Higher 4.11.HA area ratios in similar figures

Edexcel IGCSE Math A Higher 4.11.HA area ratios in similar figures
Edexcel IGCSE Math A syllabusMath A 4MA1First assessment 2018

Practise similar-area questions by finding the linear scale factor from heights, squaring it and using the given total or difference of areas.

How this is tested

  • Square the linear scale factor before comparing surface areas of similar figures.
  • Use a given sum or difference of surface areas to calculate one missing area.

Question 18

The diagram shows two similar vases, A and B

Diagram NOT accurately drawn

Diagram NOT accurately drawn

The height of vase A is 30 cm
The height of vase B is 12 cm
Given that
surface area of vase A - surface area of vase B=178.5 cm2\mathbf{B}=178.5 \mathrm{~cm}^{2}
find the surface area of vase A
cm2\mathrm{cm}^{2}