on top side, there are 4 cubes with 2 sides painted. on the bottom, there are also 4 cubes with 2 sides. then, on front side there's 2 cubes, and on the back too. 4+4+2+2=12 cubes.

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A cube has all its faces painted with different colours. It is cut into smaller cubes of equal sizes such that the side of the small cube is one-fourth the big cube. The number of small cubes with only one of the sides painted is-

You start with small and equal cubes, 27 of which are put together to form a large cube. How does one then remove 1 from the middle of the large cube to leave only 26, while not touching any of the sides of the large cube?