A cubic inch is the volume of a one-inch cube.
Cubic inches to Cubic feet Converter — in3 to ft3
Convert Cubic inch (in3) to Cubic foot (ft3) using the exact conversion factor (1 cubic inch = 0.0005787037 cubic foot). See the formula, worked examples, conversion table, history, and common uses.
Cubic inches to Cubic feet converter
Converter
Volume Converter
Convert metric, US customary, imperial, cooking, dry, and industrial volume units.
Context values
Some unit families need one extra value for a physically accurate result.
A cubic foot is exactly 0.028316846592 cubic meters.
Result = input x 1.6387064e-5 / 0.02831684659.
Volume uses the cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Cubic inches to Cubic feet
Cubic inch and Cubic foot appear side by side at fuel pumps and on beverage labels, since the US measures liquids in gallons while most of the world uses liters. Specifically: A cubic inch is the volume of a one-inch cube, and a cubic foot is exactly 0.028316846592 cubic meters.
Formula
cubic feet = cubic inches × 0.000578703703704
This factor comes from each unit's defined relationship to the category's base unit: 1 cubic inch equals 0.000016387064 base units, and 1 cubic foot equals 0.028316846592 base units, so dividing one by the other gives the direct cubic inch-to-cubic foot factor of 0.000578703703704.
Simple example
1 in3 × 0.0005787037037 = 0.0005787037 ft3
1 cubic inch = 0.0005787037 cubic feet.
Real-world example
10 in3 × 0.0005787037037 = 0.005787037 ft3
10 cubic inches = 0.005787037 cubic feet.
Conversion table
| Cubic inch (in3) | Cubic foot (ft3) |
|---|---|
| 1 in3 | 0.0005787037 ft3 |
| 5 in3 | 0.0028935185 ft3 |
| 10 in3 | 0.005787037 ft3 |
| 25 in3 | 0.0144675926 ft3 |
| 50 in3 | 0.0289351852 ft3 |
| 100 in3 | 0.0578703704 ft3 |
Reverse conversion: Cubic foot to Cubic inch
0.0005787037 ft3 × 1728 = 0.9999999936 in3
0.0005787037 cubic feet = 0.9999999936 cubic inches.
cubic inches = cubic feet × 1728
For a page dedicated to this direction, see Cubic foot to Cubic inch.
Understanding the Cubic inch (in3)
A cubic inch is the volume of a one-inch cube.
Understanding the Cubic foot
Cubic foot (ft3) measures volume. A cubic foot is exactly 0.028316846592 cubic meters, derived from the 1959 international foot. It is classified as a US/imperial customary unit.
Where it's used: United States (construction, HVAC, natural gas billing)
Uses of the Cubic foot today
- US natural gas utility billing (often in hundreds or thousands of cubic feet)
- HVAC airflow and building-volume calculations
- Lumber, concrete, and construction material estimation in the US
History of the Cubic foot
The cubic foot, like the square foot, follows from the standardized foot (exactly 0.3048 m since the 1959 international agreement) rather than having a separate historical definition.
Historical origin. Cubic foot was not the invention of a single named person; it developed through the process described above.
Cubic foot — sources
- NIST — International yard and pound (1959) — Basis for the modern foot and its derived volume unit.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many cubic feet are in 1 cubic inch?
1 cubic inch equals 0.0005787037 cubic feet, using the exact defined conversion factor rather than an estimate.
How do I convert cubic inch to cubic foot?
Multiply the cubic inch value by 0.0005787037037. The converter above does this instantly to whatever precision you set.
How do I convert cubic foot back to cubic inch?
Use the reverse factor: 1 cubic foot equals 1,728 cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a cubic inch?
Cubic inch (in3) is a unit of volume.
What is a cubic foot?
Cubic foot (ft3) measures volume. A cubic foot is exactly 0.028316846592 cubic meters, derived from the 1959 international foot. It is classified as a US/imperial customary unit.
Is the cubic inch to cubic foot conversion exact?
Yes. A cubic foot is exactly 0.028316846592 cubic meters, derived from the 1959 international foot. That fixed definition is what the converter above uses, so any rounding you see is a display choice, not a limitation of the math.