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Age 7 to 11
Challenge Level
Jason from Priory School, Dunstable says:
"If you cut 2 squares deep it will become a 6 x 6 base which I make as the biggest amount of space: 72 cubes. I worked this out using :
Length x Width x Height
6 x 6 x 2 = 72"
Christina (Marborough Primary, London) and Josh (Ampthill, Bedfordshire) agree with this answer.
Josh said, "At first I thought it would be best to cut out a 3x3 square at each corner, but that box only held 48 cubes. If you cut out a 2x2 square though, the box will hold 2x6x6 cubes which is 72. That is the most."
NRICH is part of the family of activities in the Millennium Mathematics Project.