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4MA1/1FR Jun 2018, Question 24: 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

Find how long water flowing at 400 litres per minute takes to fill a 3 m by 12 m by 2.5 m cuboid pool to 60 cm below the top, giving the time in hours and minutes.

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

Solution · 4 marks

  1. 1Water depth = 2.5 − 0.6 = 1.9 m
  2. 2Volume = 3 × 12 × 1.9 = 68.4 m³
  3. 368.4 × 1000 = 68 400 litres
  4. 4Time = 68 400 ÷ 400 = 171 minutes
  5. 5171 minutes = 2 hours 51 minutes

Answer2 hours 51 minutes

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