One Cubic foot holds 7.48 gallons of water and one gallon of water weighs 8.33 pounds. How much does 3.1 cubic feet of water weigh in pounds ? In Ounces The weight in pound is ______ lb.
The Correct Answer and Explanation is :
To determine the weight of 3.1 cubic feet of water, we can use the provided information:
- Conversion Factors:
- 1 cubic foot holds 7.48 gallons of water.
- 1 gallon of water weighs 8.33 pounds.
Step 1: Calculate the Total Gallons in 3.1 Cubic Feet
Multiply the number of cubic feet by the gallons per cubic foot:
3.1 cubic feet × 7.48 gallons/cubic foot = 23.188 gallons
Step 2: Calculate the Total Weight in Pounds
Multiply the total gallons by the weight per gallon:
23.188 gallons × 8.33 pounds/gallon ≈ 193.16 pounds
Step 3: Convert Pounds to Ounces
Since there are 16 ounces in a pound, multiply the total pounds by 16:
193.16 pounds × 16 ounces/pound ≈ 3,090.56 ounces
Conclusion
Therefore, 3.1 cubic feet of water weighs approximately 193.16 pounds or 3,090.56 ounces.
Explanation
Understanding the relationship between volume and weight is essential in various fields, including engineering, construction, and environmental science. Water’s density is approximately 8.33 pounds per gallon at standard temperature and pressure. This means that for every gallon of water, the weight is 8.33 pounds. Given that 1 cubic foot equals 7.48 gallons, we can calculate the weight of water in any given volume.
For instance, to find the weight of 3.1 cubic feet of water:
- Calculate the Total Gallons:
- 3.1 cubic feet × 7.48 gallons/cubic foot = 23.188 gallons
- Calculate the Total Weight in Pounds:
- 23.188 gallons × 8.33 pounds/gallon ≈ 193.16 pounds
- Convert Pounds to Ounces:
- 193.16 pounds × 16 ounces/pound ≈ 3,090.56 ounces
This calculation is crucial in scenarios where precise weight measurements are necessary, such as in the design of water storage tanks, calculating shipping weights, or assessing the load-bearing capacity of structures.
It’s important to note that the weight of water can vary slightly with temperature and impurities. However, for most practical applications, using the standard values of 8.33 pounds per gallon and 7.48 gallons per cubic foot provides a reliable estimate.
In summary, by understanding and applying these conversion factors, one can accurately determine the weight of water in any given volume, facilitating informed decision-making in various professional and scientific contexts.