document.write( "Question 1174928: I'd appreciate some a detailed explanation of this problem in words, please!!!\r
\n" ); document.write( "\n" ); document.write( "You have a flat sheet of cardboard that is 10 inches long and 8 inches wide. You need to make a box that has the maximum volume. So, you decide to cut out square corners of the sheet of cardboard and fold the cardboard to make a box. Let x represent the side of each little square you cut out. Write a function for the area of the box and use your graphing calculator.\r
\n" ); document.write( "\n" ); document.write( "What is the maximum area of your box, and what value of x gives you that maximum volume? Be sure to justify your
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Algebra.Com's Answer #800429 by ikleyn(52782) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Hello, I want to answer your question/questions step by step, in all details.\r
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document.write( "(1)  The question for the maximum volume is good and is reasonable.\r\n" );
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document.write( "     The question about the maximum area is NONSENSICAL:  than lesser area of the corner squares you cut, than greater is the surface area.\r\n" );
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document.write( "(2)  THEREFORE, the correct question consists of two parts:\r\n" );
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document.write( "          a)  Find the maximum possible volume,  and\r\n" );
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document.write( "          b)  Find the surface area, corresponding to the maximum volume.\r\n" );
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document.write( "(3)  Regarding the maximum volume, you just got the solution yesterday at the link\r\n" );
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document.write( "     https://www.algebra.com/algebra/homework/Human-and-algebraic-language/Human-and-algebraic-language.faq.question.1174860.html\r\n" );
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document.write( "(4)  Another solution to this problem (finding maximum volume) you may read from my lesson\r\n" );
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document.write( "     https://www.algebra.com/algebra/homework/word/misc/Calculus-optimization-problems.lesson\r\n" );
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document.write( "     in this site  (Problem 3 in this lesson).\r\n" );
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document.write( "(5)  After finding the dimensions of the box, you can easily find the surface area making simple arithmetic.\r\n" );
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