The edge length, in centimetres, of a solid wooden cube is a whole number greater than two. The outside of the cube is painted blue and the cube is then cut into small cubes whose edge length is 1cm. The number of small cubes with exactly one blue face is ten times the number of small cubes with exactly two blue faces.
Find the edge length of the original cube.
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Cayley Mathematical Olympiad 2005 (2005)
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