ECZ 2016 · GCE Paper 1 — Similarity and Congruency
Two similar solids have surface areas in the ratio 4:25. If the volume of the bigger solid is 62.5 cm³, calculate the volume of the smaller solid.
- A. 12.5 cm³
- B. 4 cm³
- C. 25 cm³
- D. 10 cm³
Verified working — step 1
Area ratio 4:25 gives length ratio 2:5, so the volume ratio is 2³:5³ = 8:125. Volume of the smaller solid = 62.5 × 8125 = …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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