ECZ 2017 · O-Level Paper 1 — Similarity and Congruency
The ratio of the surface areas of two cubes is 16 : 25. If the volume of the larger cube is 500 cm³, find the volume of the smaller cube.
- A. 320 cm³
- B. 400 cm³
- C. 200 cm³
- D. 256 cm³
Verified working — step 1
Area ratio 16 : 25 gives length ratio √16 : √25 = 4 : 5, so volume ratio = 4³ : 5³ = 64 : 125. Smaller volume = 500 × (64125) = …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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