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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 at least one face?

 

 Jan 25, 2021
 #1
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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 at least one face?     

 

I count 26 of them.  The cube has been cut into 27 small cubes.     

Only the one-inch cube in the very center will have no paint on it.     

.     

 Dec 11, 2025

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