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This problem gives practice in working with volume. It can be done by either trial and improvement or by using spreadsheets. It is a very good opportunity to see the value of using spreadsheets in solving problems.
Before tackling the problem, it might be valuable to investigate how the area of a rectangle can be maximised for a given perimeter.
Suggest trying Oh! Harry! which is a Stage 2 problem involving volume.
Learners could try Zin Obelisk, which is a similar problem.