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A gallon of water is equal to 231 cubic inches. How many gallons of water are needed to fill a fish tank that measures 11 inches high, 14 inches long, and 9 inches wide?

Answer :

Final answer:

To fill the fish tank, calculate the volume in cubic inches (1386) and divide by the volume of one gallon (231), resulting in approximately 6 gallons needed.

Explanation:

To determine the number of gallons needed to fill the fish tank, you first need to calculate the volume of the tank in cubic inches. The volume V of a rectangular prism (fish tank) is found by multiplying the length (L), width (W), and height (H) of the tank:

V = L × W × H

Plugging in the measurements:

V = 14" × 9" × 11" = 1386 cubic inches

Since 1 gallon of water is equal to 231 cubic inches, you can find the number of gallons by dividing the volume of the tank by the volume of one gallon:

Gallons needed = Volume of tank / Volume of 1 gallon

Gallons needed = 1386 cubic inches / 231 cubic inches/gallon

Gallons needed ≈ 6 gallons

Therefore, approximately 6 gallons of water are needed to fill the fish tank.

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Rewritten by : Barada

we know that

[volume of a fish tank]=11*14*9-------> 1386 in³

if 1 gallon--------------> 231 in³
X------------------------> 1386 in³
X=1386/231-------> X=6 gallon

the answer is
are needed 6 gallons of water to fill a fish tank