4MA1/2H Jun 2025, Question 21: Surface Area of a Cuboid and Cylinder
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Cuboid with sides 3x cm, 2x cm and y cm has volume 1014 cm³. Show that its total surface area A satisfies A = 12x² + 1690/x.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Volume: 3x × 2x × y = 1014, so 6x²y = 1014
- 2y = 169/x²
- 3A = 2(3x × 2x) + 2(3x × y) + 2(2x × y) = 12x² + 10xy
- 410xy = 10x × 169/x² = 1690/x
- 5A = 12x² + 1690/x
AnswerA = 12x² + 1690/x
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