Cubic feet per hour (ft³/h) to Litres per day (l/d) conversion

Understanding Cubic feet per hour to Litres per day Conversion

Cubic feet per hour ($ft^3/h$) and litres per day ($l/d$) are both units of volumetric flow rate, which describes how much volume moves through a system over time. Cubic feet per hour is commonly used in U.S. customary contexts, while litres per day is a metric unit often used for low-flow processes, dosing systems, filtration, and water treatment.

Converting between these units is useful when comparing specifications from different regions, interpreting equipment datasheets, or expressing a flow rate on a more convenient daily basis. It helps standardize measurements across engineering, environmental, industrial, and laboratory applications.

Conversion Formula

To convert from cubic feet per hour to litres per day, use:

$$l/d = ft^3/h \times 679.60396797155$$

To convert from litres per day to cubic feet per hour, use:

$$ft^3/h = l/d \times 0.001471445205043$$

These formulas are based on the verified conversion facts:

$$1\ ft^3/h = 679.60396797155\ l/d$$

$$1\ l/d = 0.001471445205043\ ft^3/h$$

Step-by-Step Example

Suppose a ventilation or fluid delivery system has a flow rate of $8.5\ ft^3/h$ and the value is needed in litres per day.

1. Write the formula

$$l/d = ft^3/h \times 679.60396797155$$

2. Substitute the value

$$l/d = 8.5 \times 679.60396797155$$

3. Calculate

$$l/d = 5776.63372775795$$

So,

$$8.5\ ft^3/h = 5776.63372775795\ l/d$$

Real-World Examples

• A small chemical dosing system delivering $0.75\ ft^3/h$ corresponds to $509.7029759786625\ l/d$, which may be relevant in industrial water treatment.
• A controlled process gas flow of $2.2\ ft^3/h$ equals $1495.12872953741\ l/d$, useful when comparing metric and customary instrument readings.
• A low-capacity filtration discharge rated at $12\ ft^3/h$ converts to $8155.2476156586\ l/d$, a practical daily-volume figure for treatment planning.
• A metering pump operating at $25\ ft^3/h$ corresponds to $16990.09919928875\ l/d$, which can help when estimating total daily throughput.

Interesting Facts

• The cubic foot is a unit derived from the foot, which is part of the U.S. customary and imperial measurement systems. Background on the foot and cubic foot can be found at Wikipedia: https://en.wikipedia.org/wiki/Cubic_foot
• The litre is a metric unit of volume widely used worldwide for liquids and gases, although it is not an SI base unit. NIST recognizes the litre for use with the SI: https://www.nist.gov/pml/special-publication-811

Why This Conversion Matters

Flow rate values are often reported in different unit systems depending on the manufacturer, industry, or country. A conversion from $ft^3/h$ to $l/d$ makes it easier to compare equipment capacities without ambiguity.

This is especially helpful for systems where the total daily volume matters more than the hourly rate. Examples include storage planning, dosing schedules, long-duration testing, and environmental monitoring.

In many practical settings, litres per day provides a clearer sense of cumulative output over time. By contrast, cubic feet per hour may better match legacy engineering drawings or equipment labels in customary-unit environments.

Quick Reference

A few direct relationships are helpful to keep in mind:

$$1\ ft^3/h = 679.60396797155\ l/d$$

$$5\ ft^3/h = 3398.01983985775\ l/d$$

$$10\ ft^3/h = 6796.0396797155\ l/d$$

$$20\ ft^3/h = 13592.079359431\ l/d$$

These values are useful for estimating common flow rates in daily-volume terms.

Summary

Cubic feet per hour and litres per day both measure volume flow rate, but they belong to different measurement traditions and suit different reporting needs. Using the verified conversion factor,

$$l/d = ft^3/h \times 679.60396797155$$

it is possible to convert a customary hourly flow rate into a metric daily flow rate accurately and consistently.

How to Convert Cubic feet per hour to Litres per day

To convert Cubic feet per hour to Litres per day, multiply the flow rate by the conversion factor between the two units. In this case, the factor is $1 \text{ ft}^3/\text{h} = 679.60396797155 \text{ l/d}$.

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

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

2. Use the conversion factor: Apply the factor for converting Cubic feet per hour to Litres per day.

   $$1 \text{ ft}^3/\text{h} = 679.60396797155 \text{ l/d}$$

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

   $$25 \text{ ft}^3/\text{h} \times 679.60396797155 \frac{\text{l/d}}{\text{ft}^3/\text{h}}$$

4. Calculate the result: Perform the multiplication.

   $$25 \times 679.60396797155 = 16990.099199289$$

5. Result: Therefore,

   $$25 \text{ Cubic feet per hour} = 16990.099199289 \text{ Litres per day}$$

For quick conversions, keep the factor $679.60396797155$ handy when going from ft$^3$/h to l/d. Always include the units in your setup to make sure they cancel correctly.

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

To convert Cubic feet per hour to Litres per day, multiply the value in $ft^3/h$ by the verified factor $679.60396797155$. The formula is $l/d = ft^3/h \times 679.60396797155$. This gives the equivalent daily volume flow in litres.

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

There are exactly $679.60396797155 \, l/d$ in $1 \, ft^3/h$. This value comes directly from the verified conversion factor. It is useful as the base reference for all other conversions.

How do I convert a specific ft3/h value to l/d?

Take the flow rate in $ft^3/h$ and multiply it by $679.60396797155$. For example, if a system flows at $2 \, ft^3/h$, then the result is $2 \times 679.60396797155 \, l/d$. This method works for any numeric value.

Why would I convert Cubic feet per hour to Litres per day?

This conversion is useful when comparing equipment specifications, consumption rates, or process flows across metric and imperial-based systems. It is common in water treatment, gas flow monitoring, and industrial process reporting. Expressing the result in $l/d$ can make daily usage easier to understand.

Is the conversion factor from ft3/h to l/d always the same?

Yes, the factor is constant because it is based on fixed unit relationships and time conversion. For this page, the verified factor is $1 \, ft^3/h = 679.60396797155 \, l/d$. The factor does not change unless different units are used.

When is Litres per day a better unit than Cubic feet per hour?

Litres per day is often better when tracking total daily consumption or production rather than hourly flow. It is especially practical for household water use, filtration output, and chemical dosing systems. Daily units can be more intuitive for planning and reporting.