Solution: Solution: As shown in the figure, each cube is marked with a number:;
(1) There are 6 small cubes painted red; Only 1.
(2) There are 2, 3, 5 and 7 small cubes, all of which are painted red; * * * There are four.
(3) There are 1, 4, 8 small cubes, and five sides are painted red; * * * There are three.
So the answer is: (1)1; (2)4; (3)3.
Comments: The key to solve this problem is to make it clear that the painted faces are subtracted from the total number of cubes.