?If \(1200 \mathrm{~cm}^2\) of material is available to make a box with a square base

Chapter 4, Problem 19

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QUESTION:

If \(1200 \mathrm{~cm}^2\) of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

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QUESTION:

If \(1200 \mathrm{~cm}^2\) of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

ANSWER:

Step 1 of 6

Let  be the length of a side of the base of the box.

 be the height of the box.

Therefore the surface of the box is

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