document.write( "Question 449321: Find the volume of a cube if its surface area is 6x^2 + 36x + 54 square meters \n" ); document.write( "

Algebra.Com's Answer #309101 by Gogonati(855) $\"\"$ $\"About$

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First we factor the polynomial of the surface area:\r
\n" ); document.write( "\n" ); document.write( " $\"6x%5E2%2B36x%2B54=6%28x%5E2%2B6x%2B9%29=6%28x%2B3%29%5E2\"$ , from this expression we conclude that the \r
\n" ); document.write( "\n" ); document.write( " dimension of the cube is (x+3) m, because the area of one side of the cube is \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B3%29%5E2\"$ square meter, and the volume will be:\r
\n" ); document.write( "\n" ); document.write( " $\"V=%28x%2B3%29%5E2%2A%28x%2B3%29=%28x%2B3%29%5E3m%5E3\"$ \r
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