Cubic Feet to Liters Calculator & Formula
- Cubic feet
- 1 ft³
- You entered
This calculator converts a volume from cubic feet (ft³) to liters (L). Enter the number of cubic feet, and you get the equivalent volume in liters instantly, along with the conversion factor used. The result is rounded to two decimal places for practical use.
Formula
The conversion is a fixed ratio because both units measure volume. The exact relationship is:
Liters = Cubic feet × 28.316846592
Where:
- Cubic feet (ft³) is the volume you start with.
- Liters (L) is the resulting volume in the metric system.
- 28.316846592 is the number of liters in one cubic foot (exact, based on the international inch definition).
This factor comes from the definitions: 1 foot = 0.3048 meters exactly, so 1 ft³ = (0.3048 m)³ = 0.028316846592 m³. Since 1 m³ = 1000 L, multiplying by 1000 gives 28.316846592 L.
Worked Example
Using the default value of 1 cubic foot:
- Start with 1 ft³.
- Multiply by the conversion factor: 1 × 28.316846592 = 28.316846592 L.
- Round to two decimal places: 28.32 L.
So 1 cubic foot equals 28.32 liters. For 5 cubic feet, the calculation is 5 × 28.316846592 = 141.58423296 L, which rounds to 141.58 L.
When to Use This Conversion
You might need this when dealing with volumes in different systems. Common situations include:
- Converting the capacity of a refrigerator, oven, or freezer (often listed in cubic feet in the US) to liters for comparison with metric specifications.
- Working with shipping volumes – freight dimensions in cubic feet, but liquid capacity in liters.
- Converting aquarium or tank volumes when the dimensions are in feet but the pump or filter specs are in liters per hour.
- Scientific or engineering work that mixes imperial and metric units.
Because the factor is exact, you can use it for any scale – from a small box to a large tank.
How to Read the Result
The result is a volume in liters. One liter is defined as 1 cubic decimeter (0.001 m³), which is close to a quart (1 L ≈ 1.0567 US quarts). For reference:
- 1 cubic foot ≈ 28.32 liters
- 1 liter ≈ 0.0353 cubic feet
- 1 cubic meter = 1000 liters
If you are converting a large number of cubic feet, the liter value will be about 28 times larger. For example, a 10 ft³ box is about 283 L – roughly the volume of 283 one-liter water bottles.
Common Mistakes and Misconceptions
One frequent error is confusing cubic feet with square feet. Cubic feet measure volume (length × width × height), while square feet measure area (length × width). You cannot convert between them without knowing a third dimension.
Another mistake is using the wrong conversion factor. Some sources round 1 ft³ to 28.3 L, which is fine for rough estimates but can cause errors in precise work. Always use the exact factor (28.316846592) when accuracy matters.
Also, be careful with units inside a formula. If you have a volume in cubic inches, you must first convert to cubic feet (divide by 1728) before applying this factor, because the conversion is not linear with linear inches.
Limits of the Formula
The conversion is exact and applies to any substance – it does not depend on temperature, pressure, or what the volume contains. However, the practical accuracy of your result depends on the precision of your input. If you measure a box as 2 ft × 3 ft × 4 ft, that is 24 ft³, but real measurements have uncertainty. The calculator shows two decimal places, but that does not make the input more precise.
Also, this conversion is for volume, not capacity. In everyday use, “liter� is often used for liquid capacity, but it is a volume unit – the same conversion works for solids, gases, or liquids.
Alternatives and Related Conversions
If you need other volume conversions, here are common ones:
- Cubic feet to gallons (US): 1 ft³ = 7.48052 US gallons.
- Cubic feet to cubic meters: 1 ft³ = 0.0283168 m³.
- Liters to gallons: 1 L = 0.264172 US gallons.
- Cubic inches to liters: 1 in³ = 0.0163871 L.
You can also reverse the calculation: to go from liters to cubic feet, divide by 28.316846592. For example, a 2-liter soda bottle is about 0.0706 ft³.
Frequently Asked Questions
How many liters are in a cubic foot?
Exactly 28.316846592 liters. For most purposes, 28.32 L is a good approximation.
How do I convert cubic feet to liters manually?
Multiply the number of cubic feet by 28.316846592. For example, 3 ft³ × 28.316846592 = 84.95 L.
Is 1 cubic foot the same as 1 liter?
No. 1 cubic foot is much larger – about 28.32 liters. Conversely, 1 liter is about 0.0353 cubic feet.
Why is the conversion factor not a round number?
Because the foot is defined in metric terms (1 ft = 0.3048 m exactly), and cubing that gives a decimal that does not simplify to a round number of liters.
Can I use this for liquid volumes like water?
Yes, the conversion is purely volumetric. One cubic foot of water occupies 28.32 liters of space, regardless of weight or temperature.
What is the difference between a US gallon and a liter?
A US gallon is 3.78541 liters. So 1 cubic foot is about 7.48 US gallons, or 28.32 liters.
Related
Formula used
in ft3 | Cubic feet | ft³ | 1 | 0 out l | Liters | L | ft3 * 28.316846592 | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.