Verified Answer :

  • Identify the conversion factor: 1 US gallon is equivalent to 3.785411784 liters.
  • Multiply the total volume in gallons by the conversion factor: \(395.0 \times 3.785411784\).
  • Determine the total volume in liters: \(\boxed{1495.2376546799999}\).

Explanation

  1. Problem Analysis and Conversion Factor

The problem asks to convert a volume of water from US gallons to liters. We are given that a person uses 395.0 gallons in a single day. To perform this conversion, we use the standard conversion factor where 1 US liquid gallon is equal to 3.785411784 liters.

  1. Calculation of Volume in Liters

To find the equivalent volume in liters, we multiply the given volume in gallons by the conversion factor.
\[395.0 \text{ gallons} \times 3.785411784 \text{ liters/gallon} = 1495.2376546799999 \text{ liters}.\]
Rounding this result to a reasonable number of decimal places, such as three, gives approximately 1495.238 liters.

  1. Final Result Conclusion

The total volume of water used in one day is approximately 1495.238 liters. Thus, 395.0 gallons of water is equivalent to \(\boxed{1495.2376546799999}\) liters (or approximately 1495.238 liters).

Examples

Understanding how to convert units, such as gallons to liters, is extremely useful when traveling internationally or working with scientific measurements. For instance, if you are filling a pool or managing water usage in different countries, knowing the standard conversion helps ensure accuracy. This basic unit conversion is a foundational skill in physics, chemistry, and daily logistics.