document.write( "Question 818314: The volume of a rectangular prism is given by the formula V = lwh (length•width•height). What are the length, width, and height of the prism if the volume is 3x3 + 9x2 + 6x? Your answer will not have exact numeric dimensions but rather three algebraic terms that represent them. \n" ); document.write( "

Algebra.Com's Answer #492521 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3x%5E3+%2B+9x%5E2+%2B+6x=3x%28x%5E2%2B3x%2B2%29=3x%28x%2B1%29%28x%2B2%29\"$
\n" ); document.write( "So $\"3x%5E3+%2B+9x%5E2+%2B+6x\"$ can be written as the 3-factor product
\n" ); document.write( " $\"%283x%29%2A%28x%2B1%29%2A%28x%2B2%29\"$
\n" ); document.write( "Maybe the prism your teacher had in mind
\n" ); document.write( "(or the prism that the textbook writer had in mind)
\n" ); document.write( "has for dimensions
\n" ); document.write( " $\"3x\"$ , $\"x%2B1\"$ and $\"x%2B2\"$ .
\n" ); document.write( "That would be my bet.
\n" ); document.write( "
\n" ); document.write( "However, why not have a prism with dimensions given by
\n" ); document.write( " $\"x\"$ , $\"3x%2B3=3%28x%2B1%29\"$ , and $\"x%2B2\"$ ,
\n" ); document.write( "or maybe
\n" ); document.write( " $\"x\"$ , $\"x%2B1\"$ , and $\"3x%2B6=3%28x%2B2%29\"$ ,
\n" ); document.write( "or maybe
\n" ); document.write( " $\"sqrt%283%29x\"$ , $\"sqrt%283%29x%2Bsqrt%283%29\"$ , and $\"x%2B2\"$ ,
\n" ); document.write( "or maybe
\n" ); document.write( " $\"x\"$ , $\"x%2B1\"$ , and $\"0.5x%2B1\"$ .
\n" ); document.write( "The possibilities are endless.
\n" ); document.write( "How limited are the imaginations of the teacher and the textbook writer? \n" ); document.write( "

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