SOLUTION: The large block are made up to 64 unit Cubs.Suppose that the outside of the large block is painted red. How many of the 64 unit cubes will have paint on only one side.

Question 1039076: The large block are made up to 64 unit Cubs.Suppose that the outside of the large block is painted red. How many of the 64 unit cubes will have paint on only one side.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

64 unit Cubs. Hmmm, do you have to go to Chicago to see this thing?

If there are 64 unit cubes, then the number of cubes on one edge is the cube root of 64, namely 4. So a face of the cube is 4 times 4 unit cubes or 16 unit cubes. Any cube at a vertex is painted on 3 sides, and any cube on an edge that is not at a vertex is painted on 2 sides. So the only cubes that are only painted on one side are the 4 cubes in the center of each one of the six faces.

John

My calculator said it, I believe it, that settles it

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