SOLUTION: 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 dimension

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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(13200) About Me  (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

2x%5E3-18x=2x%28x%5E2-9%29=%282%29%28x%29%28x%2B3%29%28x-3%29

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 2%2810%5E3%29-18%2810%29=1820, 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