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1. A six-sided box has a square base and a surface area of 54 m^2. Let...

1. A six-sided box has a square base and a surface area of 54 m^2. Let V denote the volume of the box, and let x denote the length of one of the sides of the base. Find a formula for V in terms of x.

2. What is the maximum possible volume of the box in Problem 1? Note that 0< x≤3√3.

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