document.write( "Question 44025: I've got this question: 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.\r
\n" ); document.write( "\n" ); document.write( "a)Find the function V that represents the volume of the box in terms of x. \r
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\n" ); document.write( "\n" ); document.write( "I've managed to come up with volume of the box is width x length x height = (6-2x)(8-2x)x. This is where it ends for me, I can't figure out how to solve it and I need to solve it, because I have to graph it.\r
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\n" ); document.write( "\n" ); document.write( "b) Graph this function and show the graph over the valid range of the variable x.\r
\n" ); document.write( "\n" ); document.write( "PLEASE PLEASE HELP!
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Algebra.Com's Answer #28956 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Well, you've a good start!
\n" ); document.write( "\"V+=+%286-2x%29%288-2x%29x\" Now continue by multiplying the three factors here to get the equation for the volume, v, in terms of x.\r
\n" ); document.write( "\n" ); document.write( "\"V+=+4x%5E3-28x%5E2%2B48x\" Now you can graph this equation using a graphing calculator. The graph looks like this:\r
\n" ); document.write( "\n" ); document.write( "\"graph%28300%2C200%2C-5%2C5%2C-10%2C25%2C4x%5E3-28x%5E2%2B48x%29\"\r
\n" ); document.write( "\n" ); document.write( "The valid range of x would be:
\n" ); document.write( "\"0%3Cx%3C3\"
\n" ); document.write( "Because, if:\"x%3C=0\" or \"x%3E=3\" the volume would be zero or negative, and this is not meaningful.
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