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4MA1/2F Jan 2020, Question 6: Naming and Properties of 3D Solids

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

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The question, in short

Name a 3-D shape from its diagram with edges 4 cm, 2 cm and 1 cm, measure line AB, and identify two congruent shapes among six labelled A to F.

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 with edges 4 cm, 2 cm and 1 cm.

  1. 1The shape has six rectangular faces, with opposite faces equal and all angles right angles.
  2. 2It is a three-dimensional shape with length, width, and height given as 4 cm, 2 cm, and 1 cm respectively.
  3. 3This matches the definition of a cuboid.

Answercuboid

Part (b) · 1 mark

Measure the length of the line segment AB shown in the diagram.

  1. 1Measure the line segment AB using a ruler.
  2. 2The length of AB is between 6.4 cm and 6.6 cm.
  3. 3A precise measurement gives 6.5 cm.

Answer6.5 (accept 6.3 to 6.7)

Part (c) · 1 mark

From the six shapes labelled A to F, state the letters of the two congruent shapes.

  1. 1Compare each shape to see if they have the same size and shape.
  2. 2Shape A and Shape F have identical dimensions and angles.
  3. 3They are the same shape and size, so they are congruent.
  4. 4A and F

AnswerA and F

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