SOLUTION: Imagine that you have used centimeter cubes to build a larger cube with side length 4 centimeters. You then paint your large cube blue on every side. If you take your cube apart, h

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Question 1193211: Imagine that you have used centimeter cubes to build a larger cube with side length 4 centimeters. You then paint your large cube blue on every side. If you take your cube apart, how many of the small cubes will have
3 blue faces?
2 blue faces?
1 blue face?
No paint at all?
Repeat question 1 for the cubes with side lengths of 1, 2, 3, and 5 centimeters. Be sure to organize your work, perhaps by using a table.
What do you notice in your table? Use any patterns you notice to predict the outcome for n = 6. What about n = 100?
Generalize your results by finding algebraic expressions to represent the nth case.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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