SOLUTION: The question was "An open box with a square base is to be made from a square piece of cardboard 30in. on a side by cutting out a square from each corner and turning up the sides. E

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The question was "An open box with a square base is to be made from a square piece of cardboard 30in. on a side by cutting out a square from each corner and turning up the sides. E      Log On


   

Question 853710: The question was "An open box with a square base is to be made from a square piece of cardboard 30in. on a side by cutting out a square from each corner and turning up the sides. Express the V of the box as a function of the length x of the side of the square cut from each corner." Now I already know the function is V=x(30-2x)(30-2x) but the next question goes on to ask what is the volume if 6 in. sq. is cut out? Would you just plug 6 in for x??? And also it goes on to another one of these questions asking if 14 in. sq. is cut out what is the volume? Any help would be much appreciated! Thanks!
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
As long as you know the formula and know the x values to use, USE the value in each case! If an obstacle is not in your way, do not move to and trip on it.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If it is worded this way:
6 square inches is cut out of each corner,
then +x+=+sqrt%286+%29+
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If it says:
A 6 inch square is cut from each corner, then
that sounds like +x+=+6+
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The wording is critical. It may just be ambiguous,
in which case it could be unsolvable.
I have definitely encountered that kind of problem.