SOLUTION: A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in. squares from each corner and folding up the sides. The box is to hold 6050 in3. H

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Question 1194306: A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in. squares from each corner and folding up the sides. The box is to hold 6050 in3. How big a piece of cardboard is needed?
Answer by ikleyn(52781) About Me  (Show Source):
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A box with a square base and no top is to be made from a square piece of carboard
by cutting 2 in. squares from each corner and folding up the sides.
The box is to hold 6050 in3. How big a piece of cardboard is needed?
~~~~~~~~~~~~~ 

Let x be the side length (the dimension) of the square cardboard.


After cutting 2 in. squares at the corners of the cardboard and folding,
the base of the box has dimensions  (x-4) inches by (x-4) inches.


The volume of the box is then  2*(x-4)^2, so we have this equation for x

    2*(x-4)^2 = 6050.


It implies

    (x-4)^2 = 6050/2 = 3025

     x-4    = sqrt%283025%29 = 55 inches.


Hence,  x = 55 + 4 = 59 inches.


ANSWER.  The cardbox should be 59 x 59 inches.

Solved.