SOLUTION: I dont understand what they are looking for
An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and th
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An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and th
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Question 73651: I dont understand what they are looking for
An open-top box is to be constructed from a 6 foot 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 V=X(8-2X)(6-2X)
V=X(48-12X-16X+4X^2)
V=48X-28X^2+4X^3
b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here (graph 400x400 pixels, x from -10 to 10, y from -10 to 10, y = 4x^3 -28x^2 +48x).
c) Using the graph, what is the value of x that will produce the maximum volume?
Answer x=-3.5
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