SOLUTION: An open-top box is to be constructed from a 4 ft by 6 ft rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of eac
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Question 67480: An open-top box is to be constructed from a 4 ft by 6 ft rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
Find the function V that represents the volume of the box in terms of x.
You can put this solution on YOUR website! The base of the new box, after the corners (x by x) have been removed, will have the dimensions (4-2x)ft. by (6-2x)ft. and the height of the box will be x ft.
The function, V, that represents the volume of the box will be: Simplifying this: or
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