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Similar Shapes (Area and Volume)

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Question 10

Two mathematically similar solid prisms, X and Y, are shown.

The total surface area of prism X is 15 cm2. The total surface area of prism Y is 240 cm2. The length of prism X is 10 cm.

Two mathematically similar triangular prisms labelled X and Y, with Y four times the linear size of X and the length of prism X marked 10 cm.

a.

Work out the length of prism Y.

[3]
b.

The volume of prism X is 5 cm3. Work out the volume of prism Y.

[2]

Similar Shapes (Area and Volume) Questions

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

Practise Edexcel GCSE Maths Similar Shapes (Area and Volume) with exam-style questions for Foundation and Higher tier. 28 questions, matched to the Edexcel GCSE Maths (1MA1) 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