SOLUTION: A box with a square base and no top is to be made from a square piece of carboard by cutting 6 in. squares from each corner and folding up the sides. The box is to hold 5046 in3. H
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Question 1121395: A box with a square base and no top is to be made from a square piece of carboard by cutting 6 in. squares from each corner and folding up the sides. The box is to hold 5046 in3. How big a piece of cardboard is needed?
Your answer is:
in. by
in. Found 2 solutions by josgarithmetic, greenestamps:Answer by josgarithmetic(39625) (Show Source):
The height of the box will be 6 inches. If x is the side length of the original piece of cardboard, then the side length of the box will be x-12. So the volume of the box (length times width times height) will be
From here, you could blindly expand that expression to get
And then solve the problem by solving the equation
But you would be making a lot of extra work for yourself....
Instead of doing that, write the equation to be solved without expanding the expression for the volume:
(