The Sum of the Cubes of the First N Natural Numbers Dynamic Geometric Proof

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.

Irina Boyadzhiev, 29 April 2013, Created with GeoGebra

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