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4MA1/2FR Jun 2018, Question 7: Naming and Properties of 3D Solids

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks

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The question, in short

From a diagram of a 3-D shape, identify its mathematical name and state how many faces and edges it has.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Give the mathematical name of the 3-D shape shown in the diagram.

  1. 1Identify the shape as a prism with pentagonal bases.

Answerpentagonal prism

Part (b) · 1 mark

State the number of faces the shape has.

  1. 1Count the faces: 2 pentagonal bases and 5 rectangular lateral faces.
  2. 22 + 5 = 7

Answer7

Part (c) · 1 mark

State the number of edges the shape has.

  1. 1Count the edges: each pentagon has 5 edges, and there are 5 connecting edges between corresponding vertices.
  2. 25 (top) + 5 (bottom) + 5 (sides) = 15

Answer15

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