ECZ 2017 · O-Level Paper 1 — Similarity and Congruency

The ratio of the surface areas of two cubes is 16:25. What is the volume of the smaller cube, if the volume of the bigger cube is 500cm3?

  • A. 320 cm3
  • B. 400 cm3
  • C. 200 cm3
  • D. 256 cm3

Verified working — step 1

Route every similar-solids ratio through LENGTHS: square-root the areas down to lengths, then cube 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.

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