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

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

Exam points

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.

[Maximum number: 2]

17 A and B are two similar vases.

Diagram NOT accurately drawn

Vase A has height 24 cm.
Vase B has height 36 cm.
Vase A has a surface area of $960 \mathrm{~cm}^{2}$

Work out the surface area of vase B.

Vase B has a volume of $V \mathrm{~cm}^{3}$

eg $\frac{24}{36}$ or 2: 3 oe or $\frac{36}{24}$ or 3: 2 oe

M1 for a correct scale factor

2160

A1

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