ECZ 2010 · O-Level Paper 1 — Similarity and Congruency
Two tins are geometrically similar and the ratio of their volumes is 64 : 27. Calculate the ratio of their curved surface areas.

- A. 4 : 3
- B. 8 : 3
- C. 16 : 9
- D. 64 : 27
Verified working — step 1
The volume ratio is the cube of the length ratio, so the length ratio is the cube root of 64 : 27, which is 4 : 3. Areas scale by the square: 42 : 32 = …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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