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?
(a) 27 (b) 42 (c) 54 (d) 142
Given, a cube of side 5 cm is painted on all its faces and is sliced into 1 cm3 cubes.
Then, from figure, it is clear that there are 9 cubes available on face.
Since, there are six faces available.
Hence, total number of smaller cubes =6×9=54