Of the following, the longest is
a. 1000 ft
b. 500 m
c. 1 km
d. 1 mi
The correct answer and explanation is :
The correct answer is d. 1 mi.
Here’s the reasoning:
To determine which of the options is the longest, we need to convert all the measurements to a common unit of measurement. We can choose either feet, meters, or miles. For simplicity, let’s convert everything to feet, as we have a measurement in feet already (1000 ft).
- 1000 feet (ft) is already in feet, so no conversion is needed.
- 500 meters (m): To convert meters to feet, use the conversion factor: 1 meter = 3.28084 feet. So:
[
500 \, \text{m} \times 3.28084 \, \text{ft/m} = 1640.42 \, \text{ft}
]
This is about 1640.42 feet. - 1 kilometer (km): To convert kilometers to feet, use the conversion factor: 1 kilometer = 3280.84 feet. So:
[
1 \, \text{km} \times 3280.84 \, \text{ft/km} = 3280.84 \, \text{ft}
]
This is 3280.84 feet. - 1 mile (mi): 1 mile is equal to 5280 feet.
Now, let’s compare the lengths:
- 1000 ft = 1000 feet
- 500 m ≈ 1640.42 feet
- 1 km ≈ 3280.84 feet
- 1 mi = 5280 feet
Clearly, 1 mile (5280 feet) is the longest length.
Explanation:
When comparing different units of length, it’s crucial to understand the conversions between them. The given options involve feet, meters, kilometers, and miles, which are all commonly used units for measuring length. By converting all the measurements into a common unit (in this case, feet), we can directly compare their lengths. As shown in the calculations above, 1 mile is significantly longer than the other distances. Therefore, 1 mile is the correct answer as it is the longest.