ECZ 2018 · GCE Paper 2 · Question 6 — Mensuration

The diagram below shows a bin in the form of a frustum with square ends of sides 4 cm and 10 cm respectively. The height of the bin is 9 cm.

(a) Find the volume of the bin.[6]

Verified working — step 1

Extend the frustum to a full pyramid: similar triangles give HH - 9 = 104.

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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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