Final answer:
To fill the tank two-thirds full, it would take approximately 30 gallons of water.
Step-by-step explanation:
To find the number of gallons of water it would take to fill the tank two-thirds full, we first need to calculate the volume of the tank.
The volume of a rectangular prism (like the tank) is given by the formula length x width x height. So in this case, the volume of the tank is 3 ft x 1 ft x 2 ft = 6 cubic feet.
Next, we need to determine how many gallons are in one cubic foot of water.
According to the information given, one cubic foot is about 7.5 gallons.
Therefore, to find the number of gallons needed to fill the tank two-thirds full, we multiply the volume of the tank (6 cubic feet) by two-thirds (2/3): 6 cubic feet x 2/3 = 4 cubic feet.
Finally, we can convert cubic feet to gallons by multiplying by the conversion factor: 4 cubic feet x 7.5 gallons/cubic foot = 30 gallons.