ECZ 2025 · GCE Paper 1 — Similarity and Congruency
Two similar pyramids A and B have surface areas 180 cm2 and 80 cm2 respectively. The volume of pyramid A is 810 cm3. Calculate the volume of pyramid B.
- A. 720 cm3
- B. 120 cm3
- C. 240 cm3
- D. 360 cm3
Verified working — step 1
Similar solids link three ratios: lengths k, areas k2, volumes k3. From an AREA ratio, step down to lengths, then up to volumes.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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