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Similar Shapes (Area and Volume)

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Question 7

Two trophies, P and Q, are mathematically similar.

The height of trophy P is 6 cm. The height of trophy Q is 18 cm. The surface area of trophy P is 20 cm2.

a.

Work out the surface area of trophy Q.

[2]
b.

The volume of trophy Q is 540 cm3. Work out the volume of trophy P.

[2]

Similar Shapes (Area and Volume) Questions

  1. GCSE
  2. /Maths
  3. /Similar Shapes (Area and Volume)

Practise AQA GCSE Maths Similar Shapes (Area and Volume) with exam-style questions for Foundation and Higher tier. 28 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank

Recurring Decimals to Fractions
Fractional and Negative Indices
The Product Rule for Counting
Repeated Percentage Change
Expanding Triple Brackets
Parallel and Perpendicular Lines
Inequalities on Graphs
Similar Shapes (Area and Volume)
Enlarging with Negative Scale Factors
Circle Theorems
Cumulative Frequency
Box Plots
Capture Recapture