A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dimensions yield the minimum surface area? Round to the nearest tenth.

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.

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step-by-step explanation:

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