SOLUTION: A box with a square base is to have a volume of 8 cubic meters. Let x be the length of the side of the square base and h be the height of the box. What are the possible measureme

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A box with a square base is to have a volume of 8 cubic meters. Let x be the length of the side of the square base and h be the height of the box. What are the possible measureme      Log On


   

Question 1168727: A box with a square base is to have a volume of 8 cubic meters. Let x be the length of
the side of the square base and h be the height of the box. What are the possible
measurements of a side of the square base if the height is shorter than a side of the
square base?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
length of edge of base, x

Given the volume, h for height, hx%5E2=8.

Also given, h%3Cx.
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Using the given h and x relationship, h%3Cx
and substituting for h=8%2Fx%5E2 from the volume equation,
8%2Fx%5E2%3Cx-----and now solve for x.
8%2Fx%5E2-x%3C0
8%2Fx%5E2-x%28x%5E2%2Fx%5E2%29%3C0

%288-x%5E3%29%2Fx%5E2%3C0----this must mean negative%2Fpositive%3C0;
need to have 8-x%5E3%3C0
8%3Cx%5E3
2%3Cx

x must be greater than 2.