4MA1/2F Jun 2021, Question 24: Volume of a Prism
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks
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The question, in short
Using the right-angled triangular cross-section with base 7.4 cm and sloping side 11.2 cm, plus a 15 cm length, calculate the prism's volume to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Pythagoras: height² = 11.2² − 7.4² = 125.44 − 54.76 = 70.68
- 2Height = √70.68 = 8.407…
- 3Triangle area = ½ × 7.4 × 8.407… = 31.106…
- 4Volume = 31.106… × 15 = 466.6…
- 5To 3 significant figures: 467
Answer467
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