MathDB
2016 General #3: Rectangular Prisms

Source:

November 15, 2016
HMMTgeometry3D geometryprism

Problem Statement

Let VV be a rectangular prism with integer side lengths. The largest face has area 240240 and the smallest face has area 4848. A third face has area xx, where xx is not equal to 4848 or 240240. What is the sum of all possible values of xx?