How many liters are in 50 gallons of water? (Round to the nearest whole number and do not include units in your answer.) Note: There are 3.785 liters in a gallon
The Correct Answer and Explanation is:
To convert 50 gallons of water into liters, we need to use the conversion factor: 1 gallon = 3.785 liters. The goal is to multiply the number of gallons by this conversion factor to get the equivalent volume in liters.
Step-by-Step Conversion:
- Identify the given values:
- You are given 50 gallons of water.
- The conversion factor between gallons and liters is:
1 gallon = 3.785 liters.
- Set up the multiplication:
To convert 50 gallons to liters, multiply the number of gallons by the conversion factor:
[
50 \, \text{gallons} \times 3.785 \, \text{liters/gallon}
] - Perform the multiplication:
[
50 \times 3.785 = 189.25
] - Round to the nearest whole number:
The result of the multiplication is 189.25 liters. Since the instruction is to round to the nearest whole number, we round 189.25 to 189.
Thus, 50 gallons is approximately 189 liters when rounded to the nearest whole number.
Explanation of Conversion:
The conversion from gallons to liters involves multiplying the volume in gallons by the number of liters that fit in one gallon. This relationship is established through a known standard conversion factor. Gallons are commonly used in the United States, while liters are more commonly used in most other parts of the world, such as Europe and Asia. To ensure accurate measurements when traveling or when using international recipes, it’s essential to understand and use these conversion factors.
In this problem, we used the conversion factor of 3.785 liters per gallon, which is based on the U.S. gallon, and applied it directly to the number of gallons. The result is rounded to the nearest whole number as per the instructions, ensuring the answer is clear and concise.