SOLUTION: Given a square piece of material 25 inches on each side, we are to make an open box by cutting a square with x inches on a side from each corner and turning up the sides. Express t
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Question 121886: Given a square piece of material 25 inches on each side, we are to make an open box by cutting a square with x inches on a side from each corner and turning up the sides. Express the volumn V of the box in a function of x.
You can put this solution on YOUR website! If you cut a square of side x from the corners of a 25 by 25 sheet, the length of each side of the bottom of the box will be 25 - 2x. The volume of a rectangular solid is , here l = 25 - 2x, w = 25 - 2x, and h = x, so:
