ECZ 2016 · O-Level Paper 1 — Similarity and Congruency
Two geometrically similar containers have base areas 80 cm² and 180 cm². If the capacity of the larger container is 54 litres, calculate the capacity of the smaller one.
- A. 16 litres
- B. 24 litres
- C. 36 litres
- D. 12 litres
Verified working — step 1
Area ratio 80 : 180 = 4 : 9, so length ratio = 2 : 3 and volume ratio = 2³ : 3³ = 8 : 27. Smaller = 54 × 8⁄27 = …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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