SOLUTION: I need Help!
1) An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x
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1) An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x
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1) An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer
b) Graph this function.
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c) Using the graph, what is the value of x that will produce the maximum volume?
Answer This question is from textbook COLLEG ALGEBRA
You can put this solution on YOUR website! The dimension of the rectangular cardboard is 6 ft X 8 ft
Let x-ft be each side of the square cut out from each of the four corners.
The length of the open-top box would be (8-2x) ft (Note: two corners);
The width of the open-top box would be (6-2x) ft.
The height of the open-top box would be x ft. (if you draw a diagram, it will neatly explain the resulting dimension of the open-top box);
The voume of a box = Length X Width X Height;
If V(x) represents the volume function of the box:
V(x) = x(8-2x)(6-2x);
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As far as graphing goes, this is a polynomial of degree 3. This is also bound by the restriction (domain of the function) x >= 0 and x <= 3;
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You need a graphing calculator to
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