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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."
We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?
You want to make each of the 5 Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.
In this problem you have to place four by four magic squares on the faces of a cube so that along each edge of the cube the numbers match.