Maximum Cube Size and Packing

Maximum Cube Size and Packing

IP 1
6 marks

A rectangular tank measures \(72\text{ cm}\) by \(108\text{ cm}\) by \(180\text{ cm}\). 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]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(i) \(46\,656\text{ cm}^3\) (ii) \(30\) cubes

Need help? Join our JC Math tuition classes.

Learn more