How many gallons of fuel will be contained in a rectangular shaped tank measuring 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth (7.5 gal = 1 cu. ft.)?

How many gallons of fuel will be contained in a rectangular shaped tank measuring 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth (7.5 gal = 1 cu. ft.)?

• A. 60 gallons
• B. 75 gallons
• C. 90 gallons
• D. 100 gallons

Answer: (B)

To determine the volume of the rectangular tank in cubic feet, you first need to calculate the volume using the dimensions provided: width, length, and depth. The width is 2 feet, the length is 3 feet, and the depth needs to be converted from feet and inches to feet. Since 1 foot equals 12 inches, 8 inches is equivalent to \( \frac{8}{12} \) or \( \frac{2}{3} \) feet. Therefore, the total depth in feet is \( 1 + \frac{2}{3} = \frac{5}{3} \) feet. Now, the volume \( V \) in cubic feet can be calculated using the formula for the volume of a rectangular prism: \[ V = \text{width} \times \text{length} \times \text{depth} = 2 \, \text{ft} \times 3 \, \text{ft} \times \frac{5}{3} \, \text{ft} \] Calculating this gives: \[ V = 2 \times 3 \times \frac{5}{3} = 6 \times \frac{5}{3}

To determine the volume of the rectangular tank in cubic feet, you first need to calculate the volume using the dimensions provided: width, length, and depth.

The width is 2 feet, the length is 3 feet, and the depth needs to be converted from feet and inches to feet. Since 1 foot equals 12 inches, 8 inches is equivalent to ( \frac{8}{12} ) or ( \frac{2}{3} ) feet. Therefore, the total depth in feet is ( 1 + \frac{2}{3} = \frac{5}{3} ) feet.

Now, the volume ( V ) in cubic feet can be calculated using the formula for the volume of a rectangular prism:

[ V = \text{width} \times \text{length} \times \text{depth} = 2 , \text{ft} \times 3 , \text{ft} \times \frac{5}{3} , \text{ft} ]

Calculating this gives:

[ V = 2 \times 3 \times \frac{5}{3} = 6 \times \frac{5}{3}