Identical Cubes in a Rectangular Tank

Identical Cubes in a Rectangular Tank

IP 1
6 marks

A rectangular tank measures \(60\text{ cm}\) by \(84\text{ cm}\) by \(132\text{ cm}\). It is to be filled completely with small identical cubes. Find

  1. the greatest possible volume of each cube,[4]
  2. the least possible number of cubes required.[2]

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Answer:(i) \(1\,728\text{ cm}^3\) (ii) \(385\) cubes

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