A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two o

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A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is_____ .

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Liliana 4 weeks 2021-08-14T02:17:59+00:00 2 Answers 0 views 0

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    2021-08-14T02:19:19+00:00

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    2021-08-14T02:19:21+00:00

    \mathbf{\red{{\mathbf{\red{{Asked \: Question}}}}}}

    A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is_____ .

    \mathbf{\red{{Required \:  Solution}}}

    TOTAL NO OF 1 cm CUBES = 5 x 5 x 5 = 125

    OF THIS ON EACH OF THE EXTERNAL SLICE 3 x 3 = 9 CUBES WILL HAVE ONLY ONE SIDE PAINTED. OF THE REMAINING 4 WILL HAVE PAINT ON THREE SIDES AND 12 WILL HAVE PAINT ON TWO SIDES.

    TOTAL NUMBER OF CUBES THAT WOULD HAVE PAINT ON ONLY ONE SIDE = 6 x 9 = 54

    { \blue{ \bold{ \underline{ \underline{ \overline{ \overline{ \red{hope \: this \: helps \: you \: \: ✌}}}}}}}}

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