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You are planning to make an open rectangular box from a 19in by 37 ​-in. piece...

You are planning to make an open rectangular box from a 19in by 37 ​-in. piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of largest volume you can make this​ way, and what is its​ volume? The dimensions of the box of the maximum volume are

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