Liters to Cubic Feet Volume Converter
Common Conversions
| L | ft³ |
|---|---|
| 0.1 | 0.00353 |
| 0.5 | 0.01766 |
| 1 | 0.03531 |
| 2 | 0.07063 |
| 5 | 0.17657 |
| 10 | 0.35315 |
| 25 | 0.88287 |
| 50 | 1.76573 |
| 100 | 3.53147 |
| 1000 | 35.3147 |
Why this conversion matters in chemistry
Lab volumes — solvent stocks, chamber working volumes, gas releases — get measured in liters. US building codes and HVAC specs run in cubic feet, with ventilation rates in CFM. The factor is 28.3168 L per ft³ (or equivalently 0.0353 ft³ per L), exact through the foot's definition as 30.48 cm. A 1000 L stability chamber works out to 35.3 ft³ on a US ventilation balance report. The conversion is most useful when a metric solvent volume has to land on a US ventilation calculation — a gas cylinder discharge, a fume hood face velocity, or a room air-change rate per hour.
Formula
Where the factor comes from
Two exact definitions meet here and neither had to be measured. The international foot has been exactly 0.3048 m since the 1959 agreement that reconciled the English-speaking national standards, and the liter is exactly one cubic decimeter. Cube the foot and you get 0.3048³ = 0.028316846592 m³, which is 28.316846592 L — an exact number, since cubing a decimal that terminates at four places yields one that terminates at twelve. Invert it for this direction and 1 L = 1/28.316846592 = 0.03531466672… ft³, exact as a ratio but non-terminating as a decimal. The asymmetry is worth noticing: the cubic-feet-to-liters factor terminates and this one does not, so the two directions round differently even though they encode one relation.
Precision and significant figures
Six figures, 0.0353147, exceed anything this pair is asked to support, and the input is what caps the answer. The output unit is far coarser than the input, which makes the direction feel wrong at bench scale — a 1 L flask is 0.0353 ft³, a number with no useful meaning to anyone. The conversion earns its place at room, hood and cylinder scale, and those inputs arrive already rounded: an exhaust volume derived from a face velocity and a sash opening inherits the velocity measurement's uncertainty, comfortably several percent, and no amount of precision in the unit factor improves on it. Carry three figures through the arithmetic and report two or three.
Worked Examples
One cubic foot in liters — the conversion anchor, exact through (30.48 cm)³.
One liter of gas, expressed in the units a US ventilation calculation would use.
One cubic meter in cubic feet — useful when a stability-chamber or process-vessel volume crosses unit systems.
Common mistakes
A cylinder rating is not its internal volume
A cylinder marked in the hundreds of cubic feet is quoting the free gas it would release at a reference condition, not the space inside it. The vessel's own water volume of around 50 L converts to 1.77 ft³, and the two numbers differ by more than two orders of magnitude. Multiply the water volume when you want the shell; use the supplier's rating when you want the contents.
Cubic feet and cubic feet per minute
A converted volume in ft³ and a ventilation rate in CFM are different quantities, and the arithmetic that joins them is division. A 2000 ft³ room served at 400 CFM turns over once every 5 minutes, which is 12 air changes per hour. Multiplying the two instead yields a figure in ft⁶/min with no meaning, and the extra factor of 60 for the hourly form is a separate step.
Two feet were in circulation until recently
Alongside the international foot, the United States retained a survey foot of 1200/3937 m for land work, two parts per million longer. Cubed, that is six parts per million on a volume — 0.00017 L in a cubic foot, far below anything a laboratory volume can resolve. It was retired in 2023. Know it exists when reconciling against survey drawings; never correct for it at the bench.