SOLUTION: An open box is to be constructed from a square sheet of plastic by removing a square of side 3 inches from each corner, and then turing up the sides. If the box must have a volume

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Question 113223: An open box is to be constructed from a square sheet of plastic by removing a square of side 3 inches from each corner, and then turing up the sides. If the box must have a volume of 675 cubic inches, find the length of one side of the open box.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
The height of the rectangular box would be, as clearly seen in the figure, 3 inches.
So area of base of the box = 675%2F3 = 225 sq in.
So each side of the base square of the box = sqrt%28225%29 = 15 in.
So each side of the square paper is (3 + 15 + 3) = 21 in.