Square pyramid from volume and face height

Square pyramid from volume and face height

Secondary 2
6 marks
TGM Original Questions

Core stretch

A right square pyramid has perpendicular height 12 cm and volume \(400\text{ cm}^3\).

  1. Find a base side.[2]
  2. Find the base diagonal.[2]
  3. Given each triangular face has perpendicular height 13 cm, find the total surface area.[2]

Solution:

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Answer:(a) \(10\) cm (b) \(10\sqrt2\) cm (c) \(360\text{ cm}^2\).

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