Convert 30 gallons to liters by finding an equivalent rate
The Correct Answer and Explanation is :
To convert 30 gallons to liters, we need to use an equivalent rate or conversion factor between gallons and liters. The conversion factor is:
[
1 \text{ gallon} = 3.78541 \text{ liters}
]
Step-by-Step Calculation:
- Write down the conversion factor: We know that 1 gallon is equivalent to 3.78541 liters. [
1 \text{ gallon} = 3.78541 \text{ liters}
] - Multiply the number of gallons by the conversion factor: To convert 30 gallons to liters, multiply 30 by 3.78541: [
30 \text{ gallons} \times 3.78541 \text{ liters per gallon}
] - Perform the multiplication: [
30 \times 3.78541 = 113.5623 \text{ liters}
]
Thus, 30 gallons is equal to approximately 113.5623 liters.
Explanation:
This conversion relies on the fact that the gallon is a unit of volume commonly used in the United States, while liters are used in most other parts of the world, especially in scientific contexts. Knowing the conversion factor (1 gallon = 3.78541 liters) allows you to convert between these two units easily.
The process of multiplying the number of gallons by the conversion factor ensures that the units of gallons cancel out, leaving you with the result in liters. This method of using conversion factors is essential in many fields such as science, engineering, and even everyday life, where different countries use different systems of measurement.
The result of the conversion tells us that if you have 30 gallons of a liquid, you would have 113.5623 liters of that same liquid. It’s important to note that when dealing with conversions, the precision of the result should be based on the precision of the data provided. Here, the conversion factor is provided with five decimal places, so the result is also given with five decimal places to maintain accuracy.