Cups to Cubic Feet
Convert cups (cup) to cubic feet (ft³). Both measure capacity and volume, and the conversion comes up in cooking, chemistry, fuel work.
The Formula
``
cubic feet = cups × 0.00835503472222
cups = cubic feet × 119.688311688
`
One cup is 0.008355 cubic feet, and one cubic feet is 119.6883 cups.
Conversion Table
| Cups | Cubic Feet |
|---|---|
| 1 cup | 0.008355 ft³ |
| 2 cup | 0.01671 ft³ |
| 5 cup | 0.041775 ft³ |
| 10 cup | 0.08355 ft³ |
| 25 cup | 0.208876 ft³ |
| 50 cup | 0.417752 ft³ |
| 100 cup | 0.835503 ft³ |
| 500 cup | 4.1775 ft³ |
| 1,000 cup | 8.355 ft³ |
The Other Direction
| Cubic Feet | Cups |
|---|---|
| 1 ft³ | 119.6883 cup |
| 2 ft³ | 239.3766 cup |
| 5 ft³ | 598.4416 cup |
| 10 ft³ | 1,196.88 cup |
| 25 ft³ | 2,992.21 cup |
| 50 ft³ | 5,984.42 cup |
| 100 ft³ | 11,968.83 cup |
| 500 ft³ | 59,844.16 cup |
| 1,000 ft³ | 119,688.31 cup |
What Each Unit Is
Cups (cup) — the US customary cup: exactly 240 millilitres in nutrition labelling, 236.588 mL legally. An American cooking measure standardised by Fannie Farmer in the 1890s.
Cubic Feet (ft³) — the volume of a cube one foot on each side, or 28.3168 litres. The imperial volume unit for freight, appliances and ventilation.
A Sense of Scale
A coffee mug holds about 1.5 cups- US recipes measure everything in cups
- A domestic fridge is 18–25 ft³
- Airflow is rated in cubic feet per minute
Precision
The factor 0.00835503472222 is rounded. For engineering work carry more digits than the table above, and round only at the end — rounding at each step compounds.
Watch Out For
- A US cup is 237 mL, a metric cup 250 mL and a Japanese cup 200 mL. Baking by volume is why the same recipe fails in another country.
In Code
`javascript
const cupToCubicFoot = (value) => value * 0.00835503472222;
``
Where This Conversion Comes Up
- Cooking
- Chemistry
- Fuel
- Beverages
- Medicine
How Many Decimals Do You Need?
Rounding the factor costs accuracy, and how much depends on the factor. Converting 137 cup with the factor truncated at each decimal place:
| Decimals kept | Factor | 137 cup becomes | Error |
|---|---|---|---|
| 0 | 0 | 0 | 100.0000% |
| 1 | 0 | 0 | 100.0000% |
| 2 | 0.01 | 1.37 | 19.6883% |
| 3 | 0.008 | 1.096 | 4.2494% |
| 4 | 0.0084 | 1.1508 | 0.5382% |
The right number of significant figures is set by your input, not by the converter. If you measured cups to three significant figures, the answer in cubic feet is only good to three — writing more digits claims precision the measurement never had.