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4MA1/1FR Jun 2024, Question 21: Volume of a Prism

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

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The question, in short

A wooden cylinder has radius 8 cm and volume 1208 cm³. Find its height to the nearest whole number, then use density 1.25 g/cm³ to find the mass in kilograms.

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Part (a) · 2 marks

Using radius 8 cm and volume 1208 cm³, calculate the cylinder's height h, rounded to the nearest whole number.

  1. 1π × 8² × h = 1208
  2. 2h = 1208 / (π × 64)
  3. 3h = 1208 / 201.06...
  4. 4h ≈ 6

Answer6

Part (b) · 2 marks

With density 1.25 g/cm³, work out the cylinder's mass and give it in kilograms.

  1. 1mass = density × volume
  2. 2mass = 1.25 × 1208
  3. 3mass = 1510 g
  4. 4mass = 1510 / 1000
  5. 5mass = 1.51 kg

Answer1.51

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