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MathNet 2016-part-07 — 182 problems (EN–VI) Question 63

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 63

Let $V$ be a rectangular prism with integer side lengths. The largest face has area $240$ and the smallest face has area $48$. A third face has area $x$, where $x$ is not equal to $48$ or $240$. What is the sum of all possible values of $x$?