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_____ .

Answer 1

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

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

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