yujhtheyujh Contest 1 - P8

Contributed by: yujhtheyujh

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Difficulty: 10

This problem is tagged with yty, yty1.

A rectangular prism has surface area $20$, the sum of all its sides is $23$, and its volume is $\frac{26}{5}$. What is the square of the length of the longest diagonal?
Your answer should be of the form "x/y".

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