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Value of x using a graph

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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.

When this is graphed for the function V that represents the volume of x, on the graph what is the function of x that will produce the most volume?

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This solution is comprised of a detailed explanation to answer what is the function of x that will produce the most volume.

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This is a diagram of the cardboard:

8

x x
+----+-----------------------------+----+
| | | | x
| | | |
+----+-----------------------------+----+
| | | |
| | ...

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