SOLUTION: 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 o
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Question 24973: 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.
Show Graph here
c) Using the graph, what is the value of x that will produce the maximum volume?
You can put this solution on YOUR website! Height of the box will be "x".
Base will be (6-2x) by (8-2x)
Volue will be the product of those dimensions.
Graph the function and find the
"x" value associated with the max of
the function that occurs in the interval
6
Cheers,
Stan H.
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