Hidden Cubes Activity 1: Paint Cube 1 Imagine a 3x3 cube. How many little cubes is it made of? Now imagine it is dipped in paint. Then it is disassembled. How many little cubes will have 0 sides with paint on them? How many little cubes will have paint on only 1 side? How many little cubes will have paint on 2 sides only? How about on 3 sides? Does this add to your total of little cubes? Activity 2: Paint Cube 2 Repeat Activity 3, but for a 4x4 cube. Activity 3: Magic Square 2 Repeat Activity 2, but use a 4x4 square. Use all the whole numbers from 1-16. Activity 4: Paint Cube 3 Continue to find the amount of paint on the little cubes of a 5x5 and 6x6 cube. Create a chart with all your results and look for patterns. Can you develop a formula for an nxn cube, where n is any number?
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