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Two opposite sides of a cube are painted red. On the remaining four sides, two adjacent sides are coloured green and the remaining two are blue. Two cuts are made in each of X, Y and the Z axis. Assume the inner faces of the cubes are white in colour. How many cubes have at least 1 green side?

Two opposite sides of a cube are painted red. On the remaining four sides, two adjacent sides are coloured green and the remaining two are blue. Two cuts are made in each of X, Y and the Z axis. Assume the inner faces of the cubes are white in colour. How many cubes have at least 1 green side? Correct Answer 15

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On the two blue sides the middle layer has 3 cubes with no green colour, so total 6 cubes. And the on the two blue layers the common edge layer has 3 cubes that has no green colour on it. The centre cube and the middle of the two cubes of the red faced side corresponds to 3 cubes. In total 12 cubes have no green. Which means 27 - 12 = 15 cubes have at least 1 green.

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