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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?

 

 Mar 15, 2022
 #1
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Twelve   have two faces painted

6  have one face painted

8 have three faces painted

 Mar 15, 2022
 #2
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The only faces with 2 red faces are the edge pieces. There are \(\color{brown}\boxed{12}\) of them, just like Guest found. 

 Mar 15, 2022

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