Cubic feet per minute to Cubic inches per hour conversion

How to convert cubic feet per minute to cubic inches per hour?

To convert cubic feet per minute (CFM) to cubic inches per hour (CIH), you'll need to use the following conversions:

1. There are 12 inches in a foot, so there are $12^3 = 1,728$ cubic inches in a cubic foot.
2. There are 60 minutes in an hour.

Let's break this down step-by-step to convert 1 CFM to CIH.

1. Convert cubic feet to cubic inches: $1 \text{ cubic foot} = 1,728 \text{ cubic inches}$

2. Multiply the result by 60 to convert per minute to per hour: $1 \, \text{ CFM} \times 1,728 \, \text{ Cubic Inches/Foot} \times 60 \, \text{ minutes/hour} = 103,680 \, \text{ CIH}$

So, 1 CFM is equal to 103,680 cubic inches per hour.

Real-World Examples for Other Quantities of CFM

Let's try some other quantities:

1. Kitchen Exhaust Fan:

   • A typical kitchen exhaust fan might handle around 300 CFM.
   • Using the same conversion factor: $300 \, \text{ CFM} \times 103,680 \, \text{ CIH/CFM} = 31,104,000 \, \text{ CIH}$
   • So, a kitchen exhaust fan with 300 CFM would move 31,104,000 cubic inches per hour.

2. Industrial Air Conveyor System:

   • An industrial air conveyor system might handle 1,000 CFM.
   • Using the conversion: $1,000 \, \text{ CFM} \times 103,680 \, \text{ CIH/CFM} = 103,680,000 \, \text{ CIH}$
   • Thus, an air conveyor system with 1,000 CFM would move 103,680,000 cubic inches per hour.

3. HVAC System for a Large Building:

   • Large commercial HVAC systems can handle around 5,000 CFM.
   • Using the conversion: $5,000 \, \text{ CFM} \times 103,680 \, \text{ CIH/CFM} = 518,400,000 \, \text{ CIH}$
   • Therefore, an HVAC system with 5,000 CFM would move 518,400,000 cubic inches per hour.

Summary

The process involves two main steps:

1. Converting cubic feet to cubic inches (multiply by 1,728).
2. Converting from per minute to per hour (multiply by 60).

Using these simple multiplication steps, you can easily convert any given CFM to CIH.