0580/13 May/Jun 2025, Question 9: Surface Area of a Pyramid
Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 3 marks
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The question, in short
From a net of a square-based pyramid with base side 5 cm and triangle perpendicular height 4 cm, find the surface area and state how many edges the pyramid has.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Calculate the total surface area of the pyramid using the square base and four triangles.
- 1Each triangle = 1/2 × 5 × 4 = 10 cm²
- 2Surface area = 4 × 10 + 5 × 5
- 3= 40 + 25 = 65 cm²
Answer65
Part (b) · 1 mark
State the number of edges of a square-based pyramid.
- 14 edges round the base + 4 edges up to the apex = 8
Answer8
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