Explore BrainMass

Explore BrainMass

    Maximum Volume of an Open Top Box

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    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.