The average depth of Pacific ocean is 14,000 ft. How deep is in meter, inches, and kilometer?\
The Correct Answer and Explanation is:
The average depth of the Pacific Ocean, 14,000 feet, can be converted to other units as follows:
- In meters: 4,267.2 m
- In inches: 168,000 in
- In kilometers: 4.2672 km
Explanation
This problem requires converting a measurement of length, 14,000 feet, into three different units: meters, inches, and kilometers. The process involves using specific, standardized conversion factors for each unit change. Accuracy in these conversions depends on using the correct numerical value that defines the relationship between the units.
First, to convert the depth from feet to inches, we use the relationship within the imperial system of measurement. By definition, there are exactly 12 inches in one foot. To find the total depth in inches, we multiply the number of feet by this conversion factor. The calculation is 14,000 feet multiplied by 12 inches per foot. This yields a result of 168,000 inches. This conversion is straightforward because it occurs within the same measurement system.
Next, we convert the depth from feet to meters, which involves moving from the imperial system to the metric system. The internationally recognized conversion factor is that one foot is equal to exactly 0.3048 meters. To perform this conversion, we multiply the initial value in feet by this metric equivalent. So, we calculate 14,000 feet multiplied by 0.3048 meters per foot. The result of this multiplication is 4,267.2 meters. This means the average depth of the Pacific Ocean is just over 4,200 meters.
Finally, we need to express the depth in kilometers. A kilometer is a unit in the metric system equal to 1,000 meters. The most direct method for this conversion is to use the value we have already calculated in meters. Since we are converting from a smaller unit (meters) to a larger unit (kilometers), we must divide. We take the depth in meters, which is 4,267.2, and divide it by 1,000. This calculation gives us 4.2672 kilometers. Therefore, the average depth of the Pacific Ocean is approximately 4.27 kilometers.
