Cubic feet per hour (ft³/h) to Cubic meters per day (m³/d) conversion

Understanding Cubic feet per hour to Cubic meters per day Conversion

Cubic feet per hour ($ft^3/h$) and cubic meters per day ($m^3/d$) are both units of volume flow rate, meaning they describe how much volume moves through a system over time. The first is based on the imperial/US customary foot and an hourly time interval, while the second uses the metric cubic meter and a daily time interval.

Converting between these units is useful in fields such as HVAC, natural gas distribution, industrial processing, water treatment, and environmental monitoring. It helps compare equipment ratings, reporting standards, and engineering data when different measurement systems are used.

Conversion Formula

To convert from cubic feet per hour to cubic meters per day, use the verified conversion factor:

$$1\ ft^3/h = 0.6796039679715\ m^3/d$$

So the general formula is:

$$m^3/d = ft^3/h \times 0.6796039679715$$

For the reverse conversion:

$$1\ m^3/d = 1.4714452050431\ ft^3/h$$

and

$$ft^3/h = m^3/d \times 1.4714452050431$$

Step-by-Step Example

Suppose a ventilation or gas flow system delivers $275\ ft^3/h$.

Write the formula:

$$m^3/d = ft^3/h \times 0.6796039679715$$

Substitute the value:

$$m^3/d = 275 \times 0.6796039679715$$

Calculate:

$$275\ ft^3/h = 186.89109119216\ m^3/d$$

So, a flow rate of $275\ ft^3/h$ is equal to $186.89109119216\ m^3/d$.

Real-World Examples

• A small laboratory exhaust system rated at $120\ ft^3/h$ converts to $81.55247615658\ m^3/d$, which can help when comparing metric airflow specifications.
• A biogas line carrying $850\ ft^3/h$ corresponds to $577.66337277578\ m^3/d$, a scale relevant for farm digesters or small energy recovery systems.
• A continuous compressed air leak measured at $40\ ft^3/h$ equals $27.18415871886\ m^3/d$, useful in maintenance reporting over a full day.
• A gas metering station reading $1{,}500\ ft^3/h$ converts to $1{,}019.40595195725\ m^3/d$, a quantity that may appear in industrial utility records.

Interesting Facts

• The cubic foot is a traditional unit derived from the foot, while the cubic meter is the SI-derived unit for volume. The cubic meter is widely used in international engineering and science. Source: NIST SI Units
• Flow rate units often combine a volume unit with a time unit, so conversions may involve both a change in measurement system and a change in time basis, such as from hours to days. Background on volumetric flow rate: Wikipedia: Volumetric flow rate

Notes on Using This Conversion

The factor $0.6796039679715$ applies specifically to converting from cubic feet per hour to cubic meters per day. It combines the relationship between cubic feet and cubic meters with the change from an hourly rate to a daily rate.

Because the destination unit is expressed per day, the resulting number may appear larger or smaller than expected depending on the starting unit and the volume basis. This is normal because both the volume unit and the time interval are changing at the same time.

This conversion is commonly used when technical documents mix imperial and metric conventions. Examples include equipment datasheets, environmental permits, fuel gas reports, and utility planning documents.

In process engineering, reporting a flow in $m^3/d$ can be convenient for daily production summaries. In contrast, $ft^3/h$ may be more common in equipment-level specifications or legacy systems.

When comparing values, it is important to keep the full unit with the number. A value in $ft^3/h$ and the same numeric value in $m^3/d$ do not represent the same actual flow rate.

For quick reference:

$$ft^3/h \to m^3/d:\ \times 0.6796039679715$$

$$m^3/d \to ft^3/h:\ \times 1.4714452050431$$

These verified factors provide a consistent basis for accurate volume flow rate conversion across engineering, utility, and scientific applications.

How to Convert Cubic feet per hour to Cubic meters per day

To convert Cubic feet per hour (ft3/h) to Cubic meters per day (m3/d), multiply the flow rate by the conversion factor. In this case, the factor is $1 \text{ ft}^3/\text{h} = 0.6796039679715 \text{ m}^3/\text{d}$.

1. Write the conversion factor:
   Use the verified factor between the two units:

   $$1 \text{ ft}^3/\text{h} = 0.6796039679715 \text{ m}^3/\text{d}$$

2. Set up the conversion:
   Multiply the given value by the conversion factor:

   $$25 \text{ ft}^3/\text{h} \times 0.6796039679715 \frac{\text{m}^3/\text{d}}{\text{ft}^3/\text{h}}$$

3. Cancel the original units:
   The $\text{ft}^3/\text{h}$ units cancel, leaving only $\text{m}^3/\text{d}$:

   $$25 \times 0.6796039679715 \text{ m}^3/\text{d}$$

4. Calculate the result:
   Perform the multiplication:

   $$25 \times 0.6796039679715 = 16.990099199289$$

5. Result:

   $$25 \text{ ft}^3/\text{h} = 16.990099199289 \text{ m}^3/\text{d}$$

A quick way to check your work is to confirm that the units change from hourly to daily and from cubic feet to cubic meters at the same time. For repeated conversions, keeping the factor $0.6796039679715$ handy makes the process much faster.

What is the formula to convert Cubic feet per hour to Cubic meters per day?

Use the verified conversion factor: $1\ \text{ft}^3/\text{h} = 0.6796039679715\ \text{m}^3/\text{d}$.
The formula is $\text{m}^3/\text{d} = \text{ft}^3/\text{h} \times 0.6796039679715$.

How many Cubic meters per day are in 1 Cubic foot per hour?

There are $0.6796039679715\ \text{m}^3/\text{d}$ in $1\ \text{ft}^3/\text{h}$.
This is the direct verified factor used for converting from cubic feet per hour to cubic meters per day.

How do I convert a larger ft3/h value to m3/d?

Multiply the flow rate in cubic feet per hour by $0.6796039679715$.
For example, if a device is rated in $\text{ft}^3/\text{h}$, applying $\text{ft}^3/\text{h} \times 0.6796039679715$ gives the equivalent value in $\text{m}^3/\text{d}$.

Where is ft3/h to m3/d conversion used in real life?

This conversion is commonly used in gas flow, ventilation, industrial processing, and utility reporting where equipment may use imperial units but reports require metric daily volume.
It helps compare hourly volumetric flow data with daily capacity figures in a consistent unit system.

Why does this conversion change both the volume unit and the time unit?

The conversion changes cubic feet to cubic meters and hours to days at the same time, so the factor already includes both adjustments.
That is why you should use the full verified factor $0.6796039679715$ rather than converting the parts separately unless required.

Can I round the result when converting ft3/h to m3/d?

Yes, rounding is usually fine for practical use, depending on the precision needed in your application.
For higher accuracy, keep more digits from the verified factor $1\ \text{ft}^3/\text{h} = 0.6796039679715\ \text{m}^3/\text{d}$.