Question 1180750
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The problem is poorly constructed; only part of one of the two questions can be answered definitively.<br>
NOTE: Use "^" in typed text to denote an exponent -- "2x^3" instead of "2x3".<br>
The volume (L*W*H) is<br>
{{{2x^3-18x=2x(x^2-9)=(2)(x)(x+3)(x-3)}}}<br>
We can't find the answer to part a of the problem because there are many possible expressions for the three dimensions:
2x, x+3, and x-3, or
2(x+3), x, and x-3, or
2(x-3),x, and x+3, or
2, x, and (x+3)(x-3),
or even things like
1, 2x, and (x+3)(x-3)<br>
Furthermore, it is impossible to arrange any of those in order from largest to smallest without knowing the value of x.<br>
For part b, we know the volume is {{{2(10^3)-18(10)=1820}}}, but we don't know any of the dimensions of the pool.<br>
ANSWER(s):
for part b), the volume is 1820 if x=10
none of the other questions can be answered<br>