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Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Take Ten

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?

Cutting a Cube

A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?

Soma - So Good

Age 11 to 14 Challenge Level:

To submit your solutions you?ll need to have a way of recording how the pieces fit together. The seven pieces are numbered and coloured. You can fill in a table showing your solution and colour a sketch cube correspondingly. Click here to rotate the pieces.

1. cube 1 2. cube 2 3. cube 3
4. cube 4 5. cube 5
6. cube 6 7. cube 7
Top
5 5 2
5 1 2
1 1 2
Middle
7 5 2
4 4 3
6 4 4
Bottom
7 7 3
7 6 3
6 6 3
labelled cube