ECZ 2018 · GCE Paper 1 — Similarity and Congruency
The ratio of the heights of two geometrically similar containers is 2 : 3. If the surface area of the smaller container is 80 cm², find the surface area of the larger container.
- A. 120 cm²
- B. 270 cm²
- C. 180 cm²
- D. 360 cm²
Verified working — step 1
For similar figures, areas are in the ratio of the SQUARES of corresponding lengths: 2² : 3² = 4 : 9. So 80x= 49, giving x = 80 × 94= …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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