4MA1/1FR Jun 2025, Question 25: Volume of a Prism
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 3 marks
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The question, in short
Compare the water volume in a full cylinder (radius 10 cm, height 33 cm) with the spare capacity in a cuboid 35 cm by 28 cm by 20 cm holding water 9 cm deep, to show the cuboid will not overflow.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Water in cuboid = 35 × 28 × 9 = 8820 cm³
- 2Cylinder = π × 10² × 33 = 10 367.3 cm³
- 3Total water = 8820 + 10 367.3 = 19 187.3 cm³
- 4Cuboid volume = 35 × 28 × 20 = 19 600 cm³
- 519 187.3 < 19 600, so the cuboid is not full
AnswerTotal water = 19 187.3 cm³, which is less than the cuboid volume of 19 600 cm³, so the cuboid will not be full
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