Question 1180750: The volume of a rectangular pool (V =L x W x H) is represented by the expression;
V = 2x3 - 18x
a) Factor to find the expression for dimensions of the pool (L, W and H). for this pool L>W>H
b) Note that If x = 10 cm, what is the actual L, W, H and Volume of the pool (include units)
Answer by greenestamps(13209)   (Show Source):
You can put this solution on YOUR website!
The problem is poorly constructed; only part of one of the two questions can be answered definitively.
NOTE: Use "^" in typed text to denote an exponent -- "2x^3" instead of "2x3".
The volume (L*W*H) is
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)
Furthermore, it is impossible to arrange any of those in order from largest to smallest without knowing the value of x.
For part b, we know the volume is  , but we don't know any of the dimensions of the pool.
ANSWER(s):
for part b), the volume is 1820 if x=10
none of the other questions can be answered
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