Question 1194306
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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?
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<pre>
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(3025)}}} = 55 inches.


Hence,  x = 55 + 4 = 59 inches.


<U>ANSWER</U>.  The cardbox should be 59 x 59 inches.
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Solved.