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Sum of the Cubes

Author:sonom, Irina Boyadzhiev
Topic:Numbers
This applet shows a dynamic geometric proof of the formula for the sum of the cubes of the first n natural numbers.
  • Drag the slider “NumberCubes” to create up to seven cubes.
Think of each cube as a collection of n nxn square layers of unit cubes. To find a formula for the sum of the cubes of the first natural numbers we will rearrange the square layers.
  • Drag the slider “Rearrange” or press the “animate” button.

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