ECZ 2014 · O-Level Paper 1 — Similarity and Congruency
The ratio of the surface areas of two similar solids is 1 : 64. Calculate the ratio of their volumes.
- A. 1 : 8
- B. 1 : 4 096
- C. 1 : 512
- D. 1 : 64
Verified working — step 1
Areas scale as the square of lengths: length ratio = √1 : √64 = 1 : 8. Volumes scale as the cube: 1³ : 8³ = …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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