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An open-top box is to be made from a 30-inch by 48-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the side length x that should be cut out to get the maximum possible volume of the box? 30 48 Use Calculus and derivatives to find the the side length, x, of the square that is cut out in order to get the maximum possible volume of the box. Report your answer as a length. Include units in your answers.

An open-top box is to be made from a 30-inch by 48-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the side length x that should be cut out to get the maximum possible volume of the box? 30 48 Use Calculus and derivatives to find the the side length, x, of the square that is cut out in order to get the maximum possible volume of the box. Report your answer as a length. Include units in your answers.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 1P
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An open-top box is to be made from a 30-inch by 48-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the side length x that should be cut out to get the maximum possible volume of the box? 30 48 Use Calculus and derivatives to find the the side length, x, of the square that is cut out in order to get the maximum possible volume of the box. Report your answer as a length. Include units in your answers.
Transcribed Image Text:An open-top box is to be made from a 30-inch by 48-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the side length x that should be cut out to get the maximum possible volume of the box? 30 48 Use Calculus and derivatives to find the the side length, x, of the square that is cut out in order to get the maximum possible volume of the box. Report your answer as a length. Include units in your answers.
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