. A large soup pot holds 20 quarts. What could be its volume in liters A. 7.57 B. 19 C. 21 D. 75.7
The Correct Answer and Explanation is:
To convert quarts to liters, we use the conversion factor that 1 quart is approximately equal to 0.946353 liters.
Calculation:
Given that the soup pot holds 20 quarts, we can convert the volume to liters using the following formula:Volume in liters=Volume in quarts×Conversion factor\text{Volume in liters} = \text{Volume in quarts} \times \text{Conversion factor}Volume in liters=Volume in quarts×Conversion factorVolume in liters=20 quarts×0.946353 liters/quart\text{Volume in liters} = 20 \, \text{quarts} \times 0.946353 \, \text{liters/quart}Volume in liters=20quarts×0.946353liters/quartVolume in liters=18.92706 liters\text{Volume in liters} = 18.92706 \, \text{liters}Volume in liters=18.92706liters
So, the volume is approximately 18.93 liters.
Now, let’s check the provided answer choices:
- A. 7.57 liters
- B. 19 liters
- C. 21 liters
- D. 75.7 liters
The closest option to 18.93 liters is B. 19 liters.
Explanation:
The reason why 19 liters is the correct answer is that, when performing unit conversions, the result is usually approximated to a reasonable number of significant figures. Since the question provides the volume of the soup pot in quarts with two significant figures (20 quarts), the answer should also be approximated to two significant figures. Hence, 18.93 liters rounds to 19 liters.
This method of conversion and approximation ensures we arrive at a practical and easy-to-understand volume in liters for the soup pot.
