Cubic Inches to Cubic Feet Converter
Volume · unit-converter
Convert Cubic Inches to Cubic Feet with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations use liter-based factors (US fluid measures, imperial UK units, SI cubic meters).
Calculator
From: Cubic Inches (in3)
To: Cubic Feet (ft3)
About Cubic Inches
The cubic inch is the volume of a cube one inch on a side. Engine displacement in the US and small volumes in machining use cubic inches.
About Cubic Feet
The cubic feet is the volume of a cube one feet on a side (about 28.3168 liters). HVAC, construction, and US freight sometimes use cubic feet.
How to convert cubic inches to cubic feet
1 cubic inches is equal to 0.0005787037037 cubic feet:
1 in3 = (0.016387064 L ÷ 28.316846592 L) ft3 = 0.0005787037037 ft3
Each cubic inches is defined as 0.016387064 L and each cubic feet as 28.316846592 L, so one in3 equals 0.016387064 ÷ 28.316846592 ft3 = 0.0005787037037 ft3.
Let V(in3) be the numeric value of the same volume measured in Cubic Inches (in3), and V(ft3) the value in Cubic Feet (ft3). Then:
V(ft3) = V(in3) × (0.016387064 / 28.316846592)
Equivalently, divide by how many in3 fit into one ft3 (liters per ft3 divided by liters per in3):
V(ft3) = V(in3) ÷ 1728
Or: cubic feet = cubic inches ÷ 1728
Examples
Example #1: Convert 20 in3 to cubic feet
20 in3 = 20 in3 × (0.016387064/28.316846592) ft3 = 0.0115740741 ft3
20 in3 = 20 in3 ÷ 1728 = 0.0115740741 ft3
Example #2: Convert 50 in3 to cubic feet
50 in3 = 50 in3 × (0.016387064/28.316846592) ft3 = 0.0289351852 ft3
50 in3 = 50 in3 ÷ 1728 = 0.0289351852 ft3
Summary
To convert Cubic Inches to Cubic Feet, multiply the value in in3 by the ratio of liters per in3 divided by liters per ft3. Equivalently: value_ft3 = value_in3 × (0.016387064 / 28.316846592). Numerically, 1 in3 equals 0.0005787037037037037 ft3.
Relationship context
Both units are US customary fluid / volume in this tool’s grouping. Conversions use fixed liter equivalents, so factors are consistent for cooking, engineering, and cross-checking labels. The factor from Cubic Inches to Cubic Feet is 5.787037e-4 (1 in3 = 0.0005787037037037037 ft3).
Conversion tables
| Cubic Inches (in3) | Cubic Feet (ft3) |
|---|---|
| 0.1 | 0.0000578704 |
| 1 | 0.0005787037 |
| 2 | 0.0011574074 |
| 3 | 0.0017361111 |
| 4 | 0.0023148148 |
| 5 | 0.0028935185 |
| 6 | 0.0034722222 |
| 7 | 0.0040509259 |
| 8 | 0.0046296296 |
| 9 | 0.0052083333 |
| Cubic Inches (in3) | Cubic Feet (ft3) |
|---|---|
| 10 | 0.005787037 |
| 20 | 0.0115740741 |
| 30 | 0.0173611111 |
| 40 | 0.0231481481 |
| 50 | 0.0289351852 |
| 60 | 0.0347222222 |
| 70 | 0.0405092593 |
| 80 | 0.0462962963 |
| 90 | 0.0520833333 |
| 100 | 0.0578703704 |
Conversions outside the hub list
The grid on the category page lists hub units only. These pairs include at least one unit outside that hub set (same tools: formulas and tables on each page).
- cubic-inch to uk-gallonCubic Inches to Gallon (UK)
- cubic-inch to uk-quartCubic Inches to Quart (UK)
- cubic-inch to uk-pintCubic Inches to Pint (UK)
- cubic-inch to us-quartCubic Inches to Quart (US)
- cubic-inch to us-pintCubic Inches to Pint (US)
- cubic-inch to uk-cupCubic Inches to Cup (UK)
- cubic-inch to us-cupCubic Inches to Cup (US)
- cubic-inch to uk-fluid-ounceCubic Inches to Fluid Ounce (UK)
- cubic-inch to uk-tablespoonCubic Inches to Tablespoon (UK)
- cubic-inch to uk-teaspoonCubic Inches to Teaspoon (UK)
- uk-gallon to cubic-ftGallon (UK) to Cubic Feet
- uk-quart to cubic-ftQuart (UK) to Cubic Feet