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What are the dimensions of the box of maximal volume that

A carpenter has been asked to build an open box with a square base, where an open box means a box without a top. The sides of the box will cost $3 per square meter, and the base will cost $3 per square meter. What are the dimensions of the box of maximal volume that can be constructed for $36?

Find a function f(x) for the volume of the box.

f(x)=?

Let x and z be the dimensions that maximize the volume of the box.

x=?

z=?

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