One cubic foot holds 7.48 gallons of water, and one gallon of water weighs 8.33 pounds. How much does 5.5 cubic feet of water weigh in pounds? in ounces ( avoirdupois)
The weight in pounds is _ LB ( Type an integer or decimal rounded to the nearest tenth as needed)
The Correct Answer and Explanation is :
To determine the weight of 5.5 cubic feet of water, we can follow these steps:
- Convert cubic feet to gallons:
- One cubic foot holds 7.48 gallons of water.
- Therefore, 5.5 cubic feet contain:
- Convert gallons to pounds:
- Each gallon of water weighs 8.33 pounds.
- Thus, the total weight in pounds is:
- Convert pounds to ounces:
- There are 16 ounces in a pound.
- Therefore, the total weight in ounces is:
Explanation:
- Cubic Feet to Gallons: The volume of water is given in cubic feet, but the weight is more conveniently expressed in pounds. Since 1 cubic foot equals 7.48 gallons, we multiply the volume in cubic feet by 7.48 to convert to gallons.
- Gallons to Pounds: Water’s weight is often measured in pounds per gallon. Given that 1 gallon of water weighs 8.33 pounds, we multiply the volume in gallons by 8.33 to find the weight in pounds.
- Pounds to Ounces: For more precise measurements, especially in contexts where ounces are preferred, we convert pounds to ounces by multiplying by 16 (since 1 pound equals 16 ounces).
These conversions are essential in various fields, including engineering, construction, and culinary arts, where precise measurements of water’s weight are necessary. Understanding these relationships ensures accurate calculations and helps in tasks such as determining the weight of water in tanks, calculating shipping costs based on weight, or adjusting recipes that require specific water measurements.
By following these steps, we can accurately determine that 5.5 cubic feet of water weigh approximately 342.7 pounds or 5,483.1 ounces.