ECZ 2011 · O-Level Paper 1 — Similarity and Congruency

The ratio of the surface areas of two similar bottles is 4 : 9. What is the ratio of their volumes?

  • A. 2 : 3
  • B. 4 : 9
  • C. 16 : 81
  • D. 8 : 27

Verified working — step 1

Area ratio 4 : 9 gives length ratio 2 : 3. Volumes scale by the cube of the length ratio, so 23 : 33 = …

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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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