ECZ 2013 · O-Level Paper 1 — Similarity and Congruency

Two containers are geometrically similar. The ratio of their base areas is 9 : 16. If the volume of the smaller container is 135 m3, what would be the volume of the larger container?

  • A. 240 m3
  • B. 180 m3
  • C. 320 m3
  • D. 427 m3

Verified working — step 1

Area ratio 9 : 16 gives length ratio 3 : 4, so the volume ratio is 27 : 64. Then 135 x 6427= …

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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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