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.
Step-by-step 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.