Cubic kilometers per second to Cubic feet per second conversion

How to convert cubic kilometers per second to cubic feet per second?

To convert 1 cubic kilometer per second (km³/s) to cubic feet per second (ft³/s), you need to know the conversion factors between kilometers and feet, and then apply them to the volume.

1 kilometer is equal to 3,280.84 feet. Therefore:

1 km³ = (3280.84 feet)³ = 3280.84³ feet³ ≈ 35,314,666,721,808 feet³

So, 1 km³/s is approximately 35,314,666,721,808 cubic feet per second.

Detailed Conversion:

1. Convert kilometers to feet: 1 km = 3,280.84 feet

2. Convert cubic kilometers to cubic feet: 1 km³ = (3,280.84 feet)³ = 3,280.84 × 3,280.84 × 3,280.84 ≈ 35,314,666,721.8 foot³

Thus, 1 km³/s ≈ 35,314,666,721.8 ft³/s

Real-World Examples:

• Amazon River: During the rainy season, the Amazon River discharges roughly around 209,000 cubic meters per second (m³/s). Converting this to km³/s, we get 0.000209 km³/s. Using the previously mentioned conversion factor, it would be approximately: $0.000209 \text{ km³/s} ≈ 0.000209 \times 35,314,666,721.8 \text{ ft³/s} \approx 7,387,764.24 \text{ ft³/s}$.

• Niagara Falls: The average flow rate of water going over Niagara Falls is about 2,400 cubic meters per second (m³/s). Converting this to km³/s, we get 0.0000024 km³/s. Using the conversion factor: $0.0000024 \text{ km³/s} ≈ 0.0000024 \times 35,314,666,721.8 \text{ ft³/s} \approx 84,755.60 \text{ ft³/s}$.

• Volcanic Eruptions: During a powerful volcanic eruption, such as Mount St. Helens in 1980, the eruption column reached flow rates estimated in tens of thousands of cubic meters per second. For example, a flow rate of 50,000 cubic meters per second (m³/s) would be: $0.00005 \text{ km³/s} ≈ 0.00005 \times 35,314,666,721.8 \text{ ft³/s} \approx 1,765,733.34 \text{ ft³/s}$.

In all these cases, for smaller numbers of cubic kilometers per second, you multiply by the conversion factor to get the equivalent in cubic feet per second.