Calculate cubic feet from cubic centimeters by dividing the cubic centimeter volume by 28,316.846592 to convert any cm3 volume into ft3.
Assumptions Assumptions
- Shape is a perfect cube: volume V equals side length L cubed (V = L³).
- Uses exact SI definitions: 1 ft = 0.3048 m; 1 in = 0.0254 m; 1 cm = 0.01 m; 1 m³ = 35.31466672 ft³; 1 ft³ = 0.028316846592 m³.
- No allowances for wall thickness, irregular shapes, packing, or material expansion/contraction.
- Outputs are geometric conversions only; units and rounding are for convenience.
When to Use This Calculator
- Estimating the volume of a cubic container when measuring a single side.
- Converting between side length and volume for storage bins, boxes approximated as cubes, or cubic tanks.
- Switching between metric and US customary units without separate charts.
Input Definitions
- Length — choose cm, m, mm, in, or ft; the calculator converts to meters internally.
- Volume — choose ft³, m³, L, cm³, in³, or yd³; the calculator converts to m³ internally.
- Conversions — V (ft³) = (L(cm) ÷ 30.48)³ and L(cm) = 30.48 × ³√V(ft³).
Customize This Calculator
Build your own version. Describe what you want changed, added, or compared.
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Cubic Centimeters to Cubic Feet Formula
ft3 = cm3 / 28316.846592
The variables are:
- ft3 is the volume in cubic feet.
- cm3 is the volume in cubic centimeters.
- 28316.846592 is the number of cubic centimeters in one cubic foot. It comes from cubing the exact length of one foot in centimeters, since 1 foot equals 30.48 cm and 30.48 x 30.48 x 30.48 = 28316.846592.
To go the other direction, multiply a cubic feet value by 28316.846592 to get cubic centimeters. Because both units measure volume, the conversion is a single division or multiplication with no shape assumptions.
Conversion Reference Values
You can use the values below to check your inputs or to estimate a result quickly.
| Cubic Centimeters (cm3) | Cubic Feet (ft3) |
|---|---|
| 1,000 | 0.0353147 |
| 10,000 | 0.353147 |
| 28,316.846592 | 1 |
| 50,000 | 1.76573 |
| 100,000 | 3.53147 |
| 1,000,000 | 35.3147 |
The table below lists how many cubic centimeters make up one unit of each common volume unit, which is useful when you convert through cubic centimeters.
| Unit | Cubic Centimeters (cm3) |
|---|---|
| 1 cubic inch | 16.387064 |
| 1 liter | 1,000 |
| 1 cubic foot | 28,316.846592 |
| 1 cubic meter | 1,000,000 |
Example Problems
Example 1. You have a volume of 75,000 cubic centimeters and want it in cubic feet. Divide by the conversion factor: 75000 / 28316.846592 = 2.6486 cubic feet.
Example 2. A container holds 3 cubic feet and you want the volume in cubic centimeters. Multiply by the conversion factor: 3 x 28316.846592 = 84950.54 cubic centimeters.
FAQ
How many cubic centimeters are in a cubic foot? There are exactly 28,316.846592 cubic centimeters in one cubic foot, because one foot is exactly 30.48 centimeters and that length is cubed.
Is converting cubic centimeters to cubic feet the same as converting centimeters to feet? No. Centimeters and feet are lengths, while cubic centimeters and cubic feet are volumes. Volume conversion uses the cubed ratio of the length units, so the factor is 28,316.846592 rather than 30.48.
Can I use this calculator for other volume units? Yes. Choose any supported unit in the From and To menus, such as cubic inches, liters, cubic meters, or cubic yards, and the calculator converts between them through cubic centimeters.
