A pictorial proof of the Sum of Cubes, that is

is provided. Since the square number is expressed as the cube number is expressed as  For each cube number, we get two coefficients k of this equation. And they can be placed in two tetrahedrons. And if we change the base of each tetrahedron four times, we get four tetrahedrons. By summing up the corresponding parts of these four tetrahedrons, the Sum of Cubes can be expressed as the formula shown above.

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Received: December 19, 2022; Accepted: January 5, 2023; Published: February 8, 2023

How to cite this article: Chuya Fukuda, Sum of cubes, Far East Journal of Mathematical Education 24 (2023), 15-16. http://dx.doi.org/10.17654/0973563123006

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