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    Maximizing the Volume of a Rectangular Box

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    You are planning to make an open rectangular box from a 12-by 14-cm piece of cardboard by cutting congruent squares from the corners and folding up the sides.

    a) What are the dimensions of the box of larges volume you can make this way?

    b) What is its volume?

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    The expert examines maximizing the volume of a rectangular box. Neat, step-by-step solution is provided.