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Soma - So Good

Can you mentally fit the 7 SOMA pieces together to make a cube? Can you do it in more than one way?

Nine Colours

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

Age 11 to 14
Challenge Level

The longest dimension in a cube is the diagonal from top to bottom of opposite vertices. This is shown on this dissection of a cube.

The 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?