A rectangular shaped fuel tank measures 27-1/2 inches in length, 3/4 foot in width, and 8-1/4 inches in depth. How many gallons will the tank contain?

A rectangular shaped fuel tank measures 27-1/2 inches in length, 3/4 foot in width, and 8-1/4 inches in depth. How many gallons will the tank contain?

• A. 6.5
• B. 8.83
• C. 10.2
• D. 12

Answer: (B)

To determine the number of gallons a rectangular fuel tank can contain, you first calculate the volume in cubic inches and then convert that volume to gallons. First, convert the dimensions of the tank to a consistent unit (inches). The width of the tank is given as 3/4 foot, which converts to inches as follows: 3/4 foot × 12 inches/foot = 9 inches. Now, the dimensions of the tank are: - Length: 27.5 inches - Width: 9 inches - Depth: 8.25 inches The volume in cubic inches can be calculated by multiplying these three dimensions: Volume = Length × Width × Depth = 27.5 inches × 9 inches × 8.25 inches. Calculating this: 27.5 × 9 = 247.5 247.5 × 8.25 ≈ 2043.75 cubic inches. Next, to convert the volume from cubic inches to gallons, use the conversion factor that 1 gallon is approximately 231 cubic inches: Volume in gallons = Volume in cubic inches / 231. Volume in gallons = 2043.75/231 ≈ 8.84 gallons. Since the choices provided include

To determine the number of gallons a rectangular fuel tank can contain, you first calculate the volume in cubic inches and then convert that volume to gallons.

First, convert the dimensions of the tank to a consistent unit (inches). The width of the tank is given as 3/4 foot, which converts to inches as follows:

3/4 foot × 12 inches/foot = 9 inches.

Now, the dimensions of the tank are:

• Length: 27.5 inches

• Width: 9 inches

• Depth: 8.25 inches

The volume in cubic inches can be calculated by multiplying these three dimensions:

Volume = Length × Width × Depth = 27.5 inches × 9 inches × 8.25 inches.

Calculating this:

27.5 × 9 = 247.5

247.5 × 8.25 ≈ 2043.75 cubic inches.

Next, to convert the volume from cubic inches to gallons, use the conversion factor that 1 gallon is approximately 231 cubic inches:

Volume in gallons = Volume in cubic inches / 231.

Volume in gallons = 2043.75/231 ≈ 8.84 gallons.

Since the choices provided include