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One cubic foot of water is equivalent to 7.48 gallons. If the capacity of the fish tank is 100 gallons, find the maximum possible height for the fish tank. Round your answer to the nearest thousandth of an inch.

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HELP One cubic foot of water is equivalent to 7 48 gallons If the capacity of the fish tank is 100 gallons find the maximum

Answer :

The height of the fish tank should be approximately 1.981 feet which is also equivalent to 23.772 inches.

What is the maximum possible height for the fish tank?

As desired capacity of the fish tank is 100 gallons, and 7.48 gallons of water are equivalent to 1 cubic foot, the desired volume of the fish tank is (100 / 7.48) cubic feet, or approximately 13.369 cubic feet.

The desired volume is stated as a number of cubic feet so the known dimensions of the fish tank must be converted from inches to feet.

length = 54 inches = 4.5 feet

width = 18 inches = 1.5 feet

The formula for the volume V of a rectangular prism with length l, width w, and height h is V = lwh. We will substitute the known dimensions into the formula and solve for h.

V = ℓwh

13.369 ≈ 4.5 × 1.5 × h

13.369 ≈ 6.75h

h ≈ 13.369 / 6.75

h ≈ 1.981

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