document.write( "Question 1168727: A box with a square base is to have a volume of 8 cubic meters. Let x be the length of
\n" ); document.write( "the side of the square base and h be the height of the box. What are the possible
\n" ); document.write( "measurements of a side of the square base if the height is shorter than a side of the
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Algebra.Com's Answer #793336 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
length of edge of base, x\r
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\n" ); document.write( "\n" ); document.write( "Given the volume, h for height, \"hx%5E2=8\".\r
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\n" ); document.write( "\n" ); document.write( "Also given, \"h%3Cx\".\r
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\n" ); document.write( "\n" ); document.write( "Using the given h and x relationship, \"h%3Cx\"
\n" ); document.write( "and substituting for \"h=8%2Fx%5E2\" from the volume equation,\r
\n" ); document.write( "\n" ); document.write( "\"8%2Fx%5E2%3Cx\"-----and now solve for x.\r
\n" ); document.write( "\n" ); document.write( "\"8%2Fx%5E2-x%3C0\"\r
\n" ); document.write( "\n" ); document.write( "\"8%2Fx%5E2-x%28x%5E2%2Fx%5E2%29%3C0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%288-x%5E3%29%2Fx%5E2%3C0\"----this must mean \"negative%2Fpositive%3C0\";\r
\n" ); document.write( "\n" ); document.write( "need to have \"8-x%5E3%3C0\"\r
\n" ); document.write( "\n" ); document.write( "\"8%3Cx%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"2%3Cx\"\r
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\n" ); document.write( "\n" ); document.write( "x must be greater than 2.
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