ECZ 2021 · GCE Paper 1 — Similarity and Congruency

The areas of the faces of cubes A and B are 9cm² and 25cm² respectively. Find the ratio of their volumes.

  • A. 9:25
  • B. 3:5
  • C. 27:125
  • D. 81:625

Verified working — step 1

Face areas 9 and 25 give side lengths 3 and 5, so the length ratio is 3:5. Volumes scale as the cube of the length ratio: 3³:5³ = …

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.

Have a different question?

Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.

Search any past-paper question

More Similarity and Congruency questions from past papers