ECZ 2026 · GCE Paper 1 — Similarity and Congruency

Two buckets A and B are geometrically similar. The height of bucket A is 20 cm and that of bucket B is y cm. Given that the volumes of bucket A and bucket B are 1 000 cm3 and 8 000 cm3 respectively, find the value of y.

  • A. 160
  • B. 40
  • C. 80
  • D. 2.5

Verified working — step 1

For similar solids the volume ratio is the CUBE of the length ratio, so cube-root the volume ratio to get the scale factor for heights.

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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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