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.

Diagram for ECZ 2010 · O-Level Paper 1
  • 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 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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