Answered: If 6400cm2 of material is available to…

If 6400cm2 of material is available to make a box with a square base and an open top, find the dimensions of the box that give the largest possible volume. What is the maximum value of the volume?

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

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 27P

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Question

If 6400cm2 of material is available to make a box with a square base and an open top, find the
dimensions of the box that give the largest possible volume. What is the maximum value of the volume?

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Step 1: Define the problem.

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Step 2: Define the volume of the box.

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Step 3: Find the

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Step 4: Find the stationary points.

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Step 5: Find the dimensions of box and maximum volume of the box.

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Step 6: Continuation:

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