Which is larger, 6 miles or 30,000 feet?
The Correct Answer and Explanation is:
To determine which is larger, 6 miles or 30,000 feet, we need to convert both units to the same measurement system, either miles or feet.
Step 1: Convert 6 miles to feet
We know that 1 mile is equal to 5,280 feet. So, to convert 6 miles to feet, we multiply:
[
6 \text{ miles} \times 5,280 \text{ feet per mile} = 31,680 \text{ feet}
]
Step 2: Compare 31,680 feet to 30,000 feet
Now we compare 31,680 feet (which is the equivalent of 6 miles) to 30,000 feet. Clearly, 31,680 feet is larger than 30,000 feet.
Conclusion
6 miles is larger than 30,000 feet.
Explanation:
When comparing measurements of length, it’s essential to ensure they are in the same unit. Miles and feet are both units of length, but miles are typically used for longer distances, while feet are commonly used for shorter distances. Since 1 mile equals 5,280 feet, 6 miles corresponds to 31,680 feet. Therefore, when comparing 31,680 feet (6 miles) to 30,000 feet, it’s evident that 6 miles represents a greater length.
Understanding how to convert between different units of measurement is a key skill in various fields, including math, science, and everyday problem-solving. For example, if you’re traveling a certain distance, knowing how to convert between miles and feet helps you better understand the scale of the journey. Additionally, this principle can be applied when working with other units, such as kilometers to meters or yards to feet, by using the appropriate conversion factor.