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a cube is painted blue,then cut into 27 smaller cubes.how many of the smaller cubes have only two side painted/ggggggggggg

  • math -

    the cut cube must be 3 by 3 by 3
    the only cubes that are painted on 2 sides would be the middle cubes along each edge.
    There would be 12 of those.

    (make a sketch to see the different cases)

    none visible : 1
    one visible : 6
    two visible : 12
    three visible : 8
    total = 27

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