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4MA1/1HR Jan 2021, Question 5: Volume of a Prism

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks

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The question, in short

Use the cuboid's volume 270 cm³ with sides x cm, 12 cm and 5 cm to find x, then work out the cylinder's volume with radius x and height 2x, and convert 1 m³ to cm³.

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Part (a) · 3 marks

Find x from the cuboid volume, then calculate the cylinder volume using radius x and height 2x, rounded to the nearest whole number.

  1. 1Cuboid: x × 12 × 5 = 270, so x = 270 ÷ 60 = 4.5
  2. 2Cylinder volume = π × 4.5² × (2 × 4.5) = 182.25π
  3. 3182.25π = 572.5… = 573 to the nearest whole number

Answer573

Part (b) · 1 mark

Convert 1 m³ into cm³.

  1. 11 m = 100 cm, so 1 m³ = 100 × 100 × 100 cm³ = 1 000 000

Answer1 000 000

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