document.write( "Question 1180750: The volume of a rectangular pool (V =L x W x H) is represented by the expression;\r
\n" ); document.write( "\n" ); document.write( "V = 2x3 - 18x \r
\n" ); document.write( "\n" ); document.write( "a) Factor to find the expression for dimensions of the pool (L, W and H). for this pool L>W>H \r
\n" ); document.write( "\n" ); document.write( "b) Note that If x = 10 cm, what is the actual L, W, H and Volume of the pool (include units)
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Algebra.Com's Answer #810533 by greenestamps(13203)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The problem is poorly constructed; only part of one of the two questions can be answered definitively.

\n" ); document.write( "NOTE: Use \"^\" in typed text to denote an exponent -- \"2x^3\" instead of \"2x3\".

\n" ); document.write( "The volume (L*W*H) is

\n" ); document.write( "\"2x%5E3-18x=2x%28x%5E2-9%29=%282%29%28x%29%28x%2B3%29%28x-3%29\"

\n" ); document.write( "We can't find the answer to part a of the problem because there are many possible expressions for the three dimensions:
\n" ); document.write( "2x, x+3, and x-3, or
\n" ); document.write( "2(x+3), x, and x-3, or
\n" ); document.write( "2(x-3),x, and x+3, or
\n" ); document.write( "2, x, and (x+3)(x-3),
\n" ); document.write( "or even things like
\n" ); document.write( "1, 2x, and (x+3)(x-3)

\n" ); document.write( "Furthermore, it is impossible to arrange any of those in order from largest to smallest without knowing the value of x.

\n" ); document.write( "For part b, we know the volume is \"2%2810%5E3%29-18%2810%29=1820\", but we don't know any of the dimensions of the pool.

\n" ); document.write( "ANSWER(s):
\n" ); document.write( "for part b), the volume is 1820 if x=10
\n" ); document.write( "none of the other questions can be answered

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