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.