Which shows the best path to convert 100 liters to pints?
A. liters → cups → pints B. liters → kiloliters → pints C. pints → gallons → liters D. pints → quarts → liters
The Correct Answer and Explanation is:
The best path to convert 100 liters to pints is A. liters → cups → pints. Here’s a detailed explanation of why this option is the most efficient and accurate for the conversion:
Understanding the Conversion
To convert liters to pints, it’s important to know the relationships between these units. A liter is a metric unit of volume, while a pint is part of the imperial or US customary measurement system. The conversion factors are as follows:
- 1 liter = 4.22675 cups (US)
- 1 pint = 2 cups (US)
This means that to convert liters to pints, you can first convert liters to cups and then cups to pints.
Path A: Liters → Cups → Pints
- Convert Liters to Cups:
- For 100 liters:
[
100 \text{ liters} \times 4.22675 \text{ cups/liter} = 422.675 \text{ cups}
]
- Convert Cups to Pints:
- Using the conversion of 2 cups per pint:
[
422.675 \text{ cups} \div 2 \text{ cups/pint} = 211.3375 \text{ pints}
]
Therefore, the final result is approximately 211.34 pints.
Evaluation of Other Options
- Option B (liters → kiloliters → pints): This path is inefficient because 1 kiloliter is equivalent to 1,000 liters. Converting to kiloliters before converting to pints adds an unnecessary step, making it less practical.
- Option C (pints → gallons → liters): This option starts with pints, which is the opposite of the desired direction. It complicates the process unnecessarily, as it moves away from liters instead of starting from them.
- Option D (pints → quarts → liters): Similar to option C, this path is inefficient because it begins with pints and then converts to quarts before returning to liters, reversing the direction of the needed conversion.
Conclusion
In conclusion, path A (liters → cups → pints) is the most straightforward and efficient method to convert 100 liters to pints. It maintains a direct relationship and allows for clear calculations, ensuring accurate results with minimal steps.