The six faces of a three-inch wooden cube are each painted red. The cube is then cut into one-inch cubes along the lines shown in the diagram. How many of the one-inch cubes have red paint on exactly two faces?
Twelve have two faces painted
6 have one face painted
8 have three faces painted
+2668 The only faces with 2 red faces are the edge pieces. There are \(\color{brown}\boxed{12}\) of them, just like Guest found.
