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Answer:
b = 4.6 ft
h = 2.3 ft
Step-by-step explanation:
The volume of the tank is given by:

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.
The surface area can be written as:

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

The value of h is then:

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.
First, note that

is always positive (except for x=0), so

must be always negative.
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now,

and

are only defined for x≥0, because only for these x'es we can take the square root.
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph