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4MA1/1F Jun 2020, Question 3: Volume of a Prism

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

Name the 3-D shape shown, then answer questions about a 20 cm by 8 cm by 11 cm cuboid, including counting its faces and vertices and finding its volume.

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

Part (a) · 1 mark

State the mathematical name of the 3-D shape in the diagram.

  1. 1The shape has two circular ends joined by a curved surface
  2. 2That shape is called a cylinder

AnswerCylinder

Part (bi) · 1 mark

State how many faces the cuboid has.

  1. 1A cuboid has a top and a bottom, a front and a back, and two ends
  2. 2That is 6 faces

Answer6

Part (bii) · 1 mark

State how many vertices the cuboid has.

  1. 1A cuboid has 4 corners on the top face and 4 on the bottom face
  2. 2That is 8 vertices

Answer8

Part (c) · 2 marks

Calculate the volume of the cuboid with dimensions 20 cm, 8 cm and 11 cm.

  1. 1Volume of a cuboid = length × width × height
  2. 220 × 8 = 160
  3. 3160 × 11 = 1760 cm³

Answer1760

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