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Painted Sides of a Cube By Connor McInnes Here is a 3 x 3 x 3 cube: These 3 cubes all represent 3 x 3 x 3 cubes, the first one has the blocks shaded (pink) that will be painted 3 sides, the second cube has the blocks shaded (blue) that will have 2 sides painted, and the third cube has blocks shaded (green) that will have 1 side painted and all of the remaining cubes will have no sides painted. There is a definite pattern for the cube and the sides painted. After looking at the first 4 cubes, the sides painted look as such: In a 2 x 2 x 2 cube there are: 0 blocks with 0 sides painted. 0 blocks with 1 side painted. 0 blocks with 2 sides painted. 8 blocks with 3 sides painted. In a 3 x 3 x 3 cube there are: 1 blocks with 0 sides painted. 6 blocks with 1 side painted. 12...

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