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

Note: 231 cubic inches = 1 gallon.

Answer :

To find out how many gallons the rectangular tank can contain, we need to follow a series of steps to calculate the tank's volume and convert it to gallons.

1. Understanding the Dimensions:
- The tank's length is given as 27-1/2 inches, which can be converted to a decimal as 27.5 inches.
- The width is 3/4 of a foot. Since there are 12 inches in a foot, convert the width to inches:
3/4 foot × 12 inches/foot = 9 inches.
- The depth is given as 8-1/4 inches, which can be converted to a decimal as 8.25 inches.

2. Calculate the Volume in Cubic Inches:
- Multiply the length, width, and depth to find the volume in cubic inches:
Volume = 27.5 inches (length) × 9 inches (width) × 8.25 inches (depth).
- This multiplication will give you a volume of 2041.875 cubic inches.

3. Convert Cubic Inches to Gallons:
- Since 1 gallon is equal to 231 cubic inches, divide the volume in cubic inches by 231 to convert to gallons:
Volume in gallons = 2041.875 cubic inches ÷ 231 cubic inches/gallon.
- This division results in approximately 8.84 gallons.

Therefore, the rectangular tank will contain about 8.84 gallons of fuel.

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