How many cups are in 3 liters 1 L = 4.2 cups
The Correct Answer and Explanation is:
To convert liters to cups, you need to use the conversion factor provided in the problem: 1 liter = 4.2 cups.
Step-by-Step Conversion:
- Understand the Conversion Factor:
- The given conversion factor is that 1 liter equals 4.2 cups. This means that for each liter, there are 4.2 cups.
- Multiply the Number of Liters by the Conversion Factor:
- You are given 3 liters. To find how many cups are in 3 liters, you multiply the number of liters (3) by the number of cups in each liter (4.2):
[
3 \, \text{liters} \times 4.2 \, \text{cups per liter} = 12.6 \, \text{cups}
]
- Result:
- Therefore, 3 liters is equal to 12.6 cups.
Explanation of Conversion:
When converting between different units of measurement, the key is knowing the correct conversion factor. The conversion factor is a fixed relationship between two units. In this case, the conversion factor tells us that for every 1 liter of volume, we can measure out 4.2 cups. This means that for larger quantities, like 3 liters, we simply multiply the quantity of liters by the conversion factor to find the total in cups.
It’s important to remember that this method of multiplying works because the units (liters and cups) are directly related by the conversion factor. By multiplying, you “scale up” the number of cups to match the number of liters.
Why This Works:
The reason this works mathematically is that the liters unit cancels out, leaving you with the correct unit of cups. Essentially, you’re converting from a larger volume unit (liters) to a smaller volume unit (cups), so you multiply to get a larger number of cups. Therefore, the conversion is straightforward and ensures accuracy in the result.
Thus, 3 liters is equal to 12.6 cups, based on the conversion factor provided.