### Brain Teasers

# Small Cubes

A solid wooden cuboid is made which measures an exact, and even, number of centimetres along each of its edges. It is then painted black all over its exposed faces and, when the paint is dry, the cuboid is cut up into 1 centimetre cubes. These small cubes are counted and it is then found that the number having NO paint on them at all, is exactly the same as the number which do have some paint on them. What is the LEAST number of small cubes there could be in total?

### Answer

Least is 960 (8 by 10 by 12)Hide Answer Show Answer

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