olymmath

HMMT November 2016 E3

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Let VV 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 xx, where xx is not equal to 48 or 240 . What is the sum of all possible values of xx ?

Dataset text NuminaMath olympiads. Quoted with source.

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260

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