A square pyramid cut parallel to its base

A square pyramid cut parallel to its base

Secondary 2
6 marks
TGM Original Questions

Optional extension

A right square pyramid has base side 18 cm and face slant height 15 cm.

  1. Find its vertical height.[2]
  2. Find its volume. A plane parallel to the base cuts off a smaller similar pyramid; the upper part of a face slant height is 10 cm.[2]
  3. Find the smaller pyramid’s height and volume.[2]

Solution:

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Answer:(a) \(12\) cm (b) \(1296\text{ cm}^3\) (c) \(8\) cm and \(384\text{ cm}^3\).

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