Convert Cubic Foot to Cubic Inch
Convert cubic feet to cubic inches instantly. 1 cubic foot = 1728 cubic inch — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Cubic Inch to Cubic Foot converter for the reverse conversion.
Units explained
Cubic Foot
A cubic foot is the volume of a cube one foot on a side (28.3168 L).
Derived by cubing the international foot (0.3048 m).
Used for natural gas, refrigerators, shipping and HVAC.
1959 yard agreement.
Cubic Inch
A cubic inch is the volume of a cube one inch on a side (16.387 mL).
Derived by cubing the international inch (25.4 mm).
Used for engine displacement and small-part volumes.
1959 yard agreement.
Cubic Foot to Cubic Inch conversion formula
The relationship between cubic feet and cubic inches:
To convert cubic feet to cubic inches, multiply the value in cubic feet by 1728. To reverse, multiply cubic inches by 0.0005787037.
How to use this converter
Type a value into the calculator. The result in cubic inches updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Cubic Inch to Cubic Foot converter for the reverse direction.
Step-by-step: convert cubic feet to cubic inches
- Write down the value in cubic feet (ft³).
- Multiply that value by the factor 1728.
- The product is the equivalent value in cubic inches (in³).
- To reverse, multiply the cubic inch value by 0.0005787037.
Worked examples
Example 1 — Convert 1 ft³ to in³:
1 × 1728 = 1728 in³
Example 2 — Convert 100 ft³ to in³:
100 × 1728 = 172800 in³
Real-world example — Adjacent metric sub-units
One cubic foot equals 1,000 cubic inches. Engineers move between these scales constantly: PCB feature sizes in the larger unit, wire-bond diameters in the smaller.
1 ft³ × 1728 = 1728 in³
Real-world example — Adjacent small-scale precision
One cubic foot equals 1,000 cubic inches — the standard sub-millimeter precision conversion that materials engineers use whenever they switch between bulk material thickness specs (larger unit) and surface-finish characteristics (smaller unit).
1 ft³ × 1728 = 1728 in³
Cubic Foot to Cubic Inch conversion table
Standard reference values for converting cubic feet to cubic inches:
| Cubic Foot [ft³] | Cubic Inch [in³] |
|---|---|
| 0.01 | 17.28 |
| 0.1 | 172.8 |
| 1 | 1728 |
| 2 | 3456 |
| 3 | 5184 |
| 4 | 6912 |
| 5 | 8640 |
| 10 | 17280 |
| 20 | 34560 |
| 30 | 51840 |
| 40 | 69120 |
| 50 | 86400 |
| 100 | 172800 |
| 500 | 864000.0000000001 |
| 1000 | 1728000.0000000002 |
Frequently asked questions
How many cubic inches is 1 cubic foot?
How do I convert cubic feet to cubic inches?
How do I convert cubic inches back to cubic feet?
How many cubic inches is 100 cubic feet?
Popular volume unit conversions
Convert Cubic Foot to other volume units
Show all Cubic Foot conversions
Metric / SI (15 units)
US Customary (Liquid) (15 units)
US Customary (Dry) (5 units)
Imperial (UK) (14 units)
Cubic (length-derived) (3 units)
Cooking / Culinary (5 units)
Sources & references
Conversion factor (1 ft³ = 1728 in³) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Hydrographic Organization — Resolution on the Nautical Mile
International authority that standardised the nautical mile at exactly 1852 m in 1929 — the value adopted worldwide for sea and air navigation.