Question: A box with a square base and open top must have a volume of 32000cm^3 We wish to find the dimensions of the box that

A box with a square base andopen topmust have a volume of 32000cm^3

We wish to find the dimensions of the box that minimize the amount of material used.

First, find a formula for the surface area of the box in terms of onlyx

x, the length of one side of the square base.

[Hint: use the volume formula to express the height of the box in terms ofx.]

Simplify your formula as much as possible.

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