ECZ 2024 · GCE Paper 1 — Similarity and Congruency

The ratio of the areas of two similar solids is 9:25. If the volume of the bigger solid is 375 cm3, what is the volume of the smaller solid?

  • A. 225 cm3
  • B. 81 cm3
  • C. 135 cm3
  • D. 15 cm3

Verified working — step 1

Similar solids link three ratios: lengths in ratio k, areas in k2, volumes in k3. Given an area ratio, step DOWN to lengths first, then UP to volumes.

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