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    Maximum Volume of an Open Top Box

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    An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.

    1. Find the function V that represents the volume of the box in terms of x.

    2. Graph this function and show the graph over the valid range of the variable x and show graph.

    3. Using the graph, what is the value of x that will produce the maximum volume?

    © BrainMass Inc. brainmass.com October 9, 2019, 6:22 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/maximum-volume-of-an-open-top-box-86275

    Solution Summary

    Maximum Volume of an Open-Top Box is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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