SOLUTION: Your answer for the question "A wooden cube whose edges are 4 inches is painted green.The cube is then cut into 64 one-inch cubes. How many small cubes have exactly 1 green face? "
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Question 382148: Your answer for the question "A wooden cube whose edges are 4 inches is painted green.The cube is then cut into 64 one-inch cubes. How many small cubes have exactly 1 green face? ", i did not understand that. How you used different equations for different number of small cubes sides painted? For example you use 6*(n-2)^2 for exactly one side painted and so on? what is the logic of using those equations? Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! You use 6*(n-2)^2 because we want to count the number of cubes that are in the "middle" of each face (i.e. all of the cubes not on an edge or vertex) which would be (x-2)^2 for a sufficiently large n. There are 6 faces, so we multiply by 6.
