How many gallons per minute (GPM) are equivalent to 1 ft/s³?

• A. 448 gpm
• B. 62.4 gpm
• C. 1000 gpm
• D. 14.7 gpm

Answer: (A)

To understand the conversion from cubic feet per second (ft³/s) to gallons per minute (GPM), it’s important to know the relationship between these units of measurement.

1 cubic foot is equal to 7.48 gallons. Since there are 60 seconds in a minute, the calculation for converting cubic feet per second to gallons per minute involves multiplying by both the number of gallons in a cubic foot and the number of seconds in a minute. The formula can be expressed as:

GPM = (ft³/s) × (7.48 gallons/1 ft³) × (60 seconds/1 minute)

Calculating this gives:

GPM = 1 ft³/s × 7.48 gallons/1 ft³ × 60 seconds/1 minute

GPM = 7.48 × 60

GPM = 448.8 (approximately 448 gpm)

Thus, the correct answer is 448 gallons per minute, which correctly reflects the conversion process from cubic feet per second to gallons per minute. This is the reason why the answer aligns accurately with the calculated result.