Question

1.A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, then how many 1 cubic centimetre cubes will have exactly one of their faces painted?​

Answer 1

There are six sides of the cube and as side of cube is 5 cm and hence each side will have 5×5=25 one cubic centimeter cubes painted.

However, all the cubes on sides and corners will have painted sides more than one as they share with adjoining sides and only 3×3=9 one cubic centimeter cubes will have one side painted.

As there are six sides, 9×6=54 one cubic centimeter cubes will have exactly one of their sides painted.

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