Authors and affiliations
Richard P. Tagle
Faculty, Department of Mathematics and Physics
College of Arts and Sciences, Central Luzon State University
Science City of Muñoz 3 120, Nueva Ecija, Philippines
In this paper, we study some elementary problems involving surface area and volume of a certain regular solid. In particular, we find integral dimensions of a rectangular prism in which its surface area and volume are numerically equal. The problem leads us in solving a specific case of the well-known Diophantine problem
- Diophantine equation
- Egyptian fraction
- Integral solutions
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Cite this paper
Rabago, J. F. T., & Tagle, R. P. (2013). On the area and volume of a certain regular solid and the Diophantine equation 1/2 = 1/x + 1/y + 1/z. Notes on Number Theory and Discrete Mathematics, 19(3), 28-32.