Consider a cube composed of (n^2) unit cubes. If we paint the surface of the composed cube, some of the unit cubes may have no sides colored and some may have more than one side colored. Using (n), classify the cube breaking down how many of each type of unit cubes there are.
NOTE: You have two jobs. The first is to consider different sized cubes, such as for n=1,2, etc. Next for each of these sizes give the categories determined by the unit cubes and determine the number of unit cubes in each category.
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2006-10-17
09:48:04
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2 answers
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Anonymous
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Mathematics