Online: An Ancient Relation between Units of Length and Volume Based on a Sphere

Plos ONE 

An Ancient Relation between Units of Length and Volume Based on a Sphere

Elena Zapassky, Yuval Gadot, Israel Finkelstein, Itzhak Benenson

Abstract
The modern metric system defines units of volume based on the cube. We propose that the ancient Egyptian system of measuring capacity employed a similar concept, but used the sphere instead. When considered in ancient Egyptian units, the volume of a sphere, whose circumference is one royal cubit, equals half a hekat. Using the measurements of large sets of ancient containers as a database, the article demonstrates that this formula was characteristic of Egyptian and Egyptian-related pottery vessels but not of the ceramics of Mesopotamia, which had a different system of measuring length and volume units.