document.write( "Question 701093: The exact problem as it shows up on my homework is:
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document.write( "An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides. What is the maximum volume of the box?
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document.write( "I am in an algebra 2 class, and I don't recognize any way to solve this problem using what we've learned this semester so I'm completely lost as how to solve it. \n" );
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Algebra.Com's Answer #432214 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides. What is the maximum volume of the box? \n" ); document.write( "----- \n" ); document.write( "Sketch a square on a piece of paper. \n" ); document.write( "Labe each side \"24\" cm \n" ); document.write( "------ \n" ); document.write( "Sketch a square at each corner of the 24x24 square. \n" ); document.write( "Label the sides of the little square \"x\" \n" ); document.write( "-------- \n" ); document.write( "Imagine (or actually) cutting out the four x by x squares \n" ); document.write( "---- \n" ); document.write( "Imagine (or actually) folding up the remaining sides of the sheet. \n" ); document.write( "---- \n" ); document.write( "Find the volume of this paper box. \n" ); document.write( "--- \n" ); document.write( "Volume = length*width*height \n" ); document.write( "Volume = (24-2x)(24-2x)x \n" ); document.write( "---- \n" ); document.write( "Can you determine the maximum volume? \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |