Question

a cube of sides 5 cm is painted on all its faces.if it is sliced in to a 1 cm3.cubes how many 1cm3 cubes will have exactly one of their faces painted?

Answer 1

6 * 5 * 5 immediately six sides with 5*5 each but the ones on the edges have two faces painted
so
6 * 4 * 4

Answer 2

Look at one of the faces, it will be 5 cm by 5 cm
The edges will be painted on two sides, while the 4 corners are actually painted on three sides.
So the only cubes painted on one side only are the inside squares of that face.
It will be 3 cm by 3 cm, for 9 of those
But there are 6 faces to a cube.
So cubes painted on only 1 side are 36.

Answer 3

of course 9 x 6 = 54, not 36

Answer 4

Yes, of course, 6*3*3