Cubic feet per hour (ft³/h) to Cubic Centimeters per second (cm³/s) conversion

Understanding Cubic feet per hour to Cubic Centimeters per second Conversion

Cubic feet per hour ($ft^3/h$) and cubic centimeters per second ($cm^3/s$) are both units of volumetric flow rate, which describes how much volume passes through a system over time. Converting between them is useful when comparing equipment specifications, laboratory measurements, HVAC airflow data, or industrial process values that use different unit systems.

Cubic feet per hour is commonly associated with imperial or U.S. customary measurement contexts, while cubic centimeters per second is a metric unit often seen in scientific, engineering, and technical applications. A conversion between these units helps express the same flow rate in the format required by a given standard, instrument, or report.

Conversion Formula

To convert from cubic feet per hour to cubic centimeters per second, use the verified conversion factor:

$$1\ ft^3/h = 7.8657866663374\ cm^3/s$$

So the general formula is:

$$\text{cm}^3/\text{s} = \text{ft}^3/\text{h} \times 7.8657866663374$$

For reverse conversion, use:

$$1\ cm^3/s = 0.1271328657157\ ft^3/h$$

Which gives:

$$\text{ft}^3/\text{h} = \text{cm}^3/\text{s} \times 0.1271328657157$$

Step-by-Step Example

Suppose a ventilation line carries $18.5\ ft^3/h$ of air. Convert this flow rate to cubic centimeters per second.

1. Write the formula

$$\text{cm}^3/\text{s} = \text{ft}^3/\text{h} \times 7.8657866663374$$

2. Substitute the given value

$$\text{cm}^3/\text{s} = 18.5 \times 7.8657866663374$$

3. Calculate

$$18.5\ ft^3/h = 145.5170533272419\ cm^3/s$$

So, a flow of $18.5\ ft^3/h$ is equal to $145.5170533272419\ cm^3/s$.

Real-World Examples

• A small gas delivery system rated at $5\ ft^3/h$ corresponds to $39.328933331687\ cm^3/s$, which can be relevant in controlled combustion or lab gas supply setups.
• An airflow measurement of $12.75\ ft^3/h$ in a compact ventilation duct equals $100.28878199580185\ cm^3/s$.
• A process line carrying $30\ ft^3/h$ of vapor converts to $235.973599990122\ cm^3/s$, useful when comparing plant data with metric instrumentation.
• A low-flow calibration device operating at $0.8\ ft^3/h$ corresponds to $6.29262933306992\ cm^3/s$, a scale common in precision testing environments.

Interesting Facts

• The cubic foot is derived from the foot, an imperial and U.S. customary length unit, while the cubic centimeter is derived from the centimeter in the metric system. This makes $ft^3/h$ to $cm^3/s$ conversion a good example of translating between two major measurement systems. Source: NIST Guide to SI
• The cubic centimeter is exactly equal to one milliliter in volume, so a value in $cm^3/s$ can also be interpreted directly as milliliters per second in many practical contexts. Source: Encyclopaedia Britannica — milliliter

How to Convert Cubic feet per hour to Cubic Centimeters per second

To convert Cubic feet per hour to Cubic Centimeters per second, multiply the flow value by the conversion factor between the two units. Since this is a flow-rate conversion, both the volume unit and the time unit must be accounted for.

1. Write the given value: Start with the flow rate you want to convert.

   $$25 \text{ ft}^3/\text{h}$$

2. Use the conversion factor: The verified factor for this conversion is:

   $$1 \text{ ft}^3/\text{h} = 7.8657866663374 \text{ cm}^3/\text{s}$$

3. Set up the multiplication: Multiply the given value by the conversion factor so the original unit cancels.

   $$25 \text{ ft}^3/\text{h} \times 7.8657866663374 \frac{\text{cm}^3/\text{s}}{\text{ft}^3/\text{h}}$$

4. Calculate the result: Perform the multiplication.

   $$25 \times 7.8657866663374 = 196.64466665843$$

5. Result:

   $$25 \text{ ft}^3/\text{h} = 196.64466665843 \text{ cm}^3/\text{s}$$

When converting flow rates, always check both the volume and time units carefully. Using the verified conversion factor directly is the fastest way to avoid mistakes.

What is the formula to convert Cubic feet per hour to Cubic Centimeters per second?

To convert Cubic feet per hour to Cubic Centimeters per second, multiply the flow value by the verified factor $7.8657866663374$.
The formula is: $\text{cm}^3/\text{s} = \text{ft}^3/\text{h} \times 7.8657866663374$.

How many Cubic Centimeters per second are in 1 Cubic foot per hour?

There are $7.8657866663374 \text{ cm}^3/\text{s}$ in $1 \text{ ft}^3/\text{h}$.
This is the direct conversion factor used for all values on the page.

Why would I convert Cubic feet per hour to Cubic Centimeters per second?

This conversion is useful when comparing gas or liquid flow rates across systems that use different unit standards.
It often appears in engineering, laboratory measurements, HVAC work, and equipment specifications where smaller metric flow units are preferred.

Is the conversion factor always the same?

Yes, the factor is constant because it comes from fixed relationships between cubic feet, cubic centimeters, hours, and seconds.
You can always use $1 \text{ ft}^3/\text{h} = 7.8657866663374 \text{ cm}^3/\text{s}$ for this unit conversion.

How do I convert a larger flow rate from ft3/h to cm3/s?

Multiply the number of Cubic feet per hour by $7.8657866663374$.
For example, if a device is rated in ft3/h, applying $\text{ft}^3/\text{h} \times 7.8657866663374$ gives the equivalent flow in $\text{cm}^3/\text{s}$.

When is this conversion used in real-world applications?

It is commonly used when reading flow meters, calibrating instruments, or matching equipment specs between imperial and metric systems.
For example, a manufacturer may list airflow in $\text{ft}^3/\text{h}$, while a lab or technical document requires the value in $\text{cm}^3/\text{s}$.