How many gallons of fuel are contained in a tank measuring 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth?

To determine how many gallons of fuel are contained in the tank, you begin by calculating the volume of the tank in cubic feet and then convert that volume to gallons.

First, convert the dimensions of the tank into a consistent unit. There are 12 inches in a foot, so the depth of 1 foot 8 inches can be converted as follows:

1 foot 8 inches = 1 foot + (8 inches ÷ 12 inches/foot) = 1 + 0.6667 = approximately 1.6667 feet.

Next, calculate the volume of the tank in cubic feet using the formula for the volume of a rectangular prism (Volume = width × length × depth):

Volume = 2 feet × 3 feet × 1.6667 feet = 10 cubic feet (approximately).

Now, to convert cubic feet to gallons, you use the conversion factor that 1 cubic foot is approximately equal to 7.48 gallons:

Volume in gallons = 10 cubic feet × 7.48 gallons/cubic foot ≈ 74.8 gallons.

Rounding this value gives us approximately 75 gallons, making the precise calculation support the correct answer. Thus, the volume of fuel contained in the tank is