Enter a side length (cm, m, mm, in, ft) or a volume (ft³, m³, L, cm³, in³, yd³) to convert to the other, assuming a cube where V = L³.
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).
- All Unit Converters
- Centimeters To Liters Calculator
- Ft^3 to mL Conversion Calculator
- Cm^3 to Inches Conversion Calculator
Centimeters to Cubic Feet Formula
The following formulas convert between a cube’s side length in centimeters and its volume in cubic feet using exact SI relationships.
V_{\mathrm{ft^3}}=\left(\frac{L_{\mathrm{cm}}}{30.48}\right)^3L_{\mathrm{cm}}=30.48\,\sqrt[3]{V_{\mathrm{ft^3}}}- 1 cm = 0.01 m
- 1 ft = 0.3048 m
- 1 ft³ = 0.028316846592 m³
- 1 m³ = 35.31466672 ft³
- 1 in = 0.0254 m; 1 in³ = 0.000016387064 m³
- 1 cm³ = 1×10⁻⁶ m³; 1 L = 0.001 m³
How do you convert centimeters to cubic feet? Divide the side length in centimeters by 30.48 to get feet, then cube the result to get ft³.
How do you convert cubic feet to centimeters? Take the cube root of the volume in ft³ to get feet, then multiply by 30.48 to get centimeters.
Centimeters to Cubic Feet Conversion Table
| Side Length (cm) | Volume (ft³) |
|---|---|
| 5 | 0.004 |
| 10 | 0.035 |
| 15 | 0.119 |
| 20 | 0.283 |
| 25 | 0.552 |
| 30 | 0.953 |
| 40 | 2.260 |
| 45 | 3.218 |
| 50 | 4.414 |
| 60 | 7.628 |
| 70 | 12.113 |
| 75 | 14.898 |
| 80 | 18.081 |
| 90 | 25.744 |
| 100 | 35.315 |
| 120 | 61.024 |
| 150 | 119.187 |
| 200 | 282.517 |
| 250 | 551.792 |
| 300 | 953.496 |
| * Assumes a cube: V (ft³) = (cm ÷ 30.48)³. Exact: 1 ft³ = 0.028316846592 m³. | |
Example Problem
Convert a cube with 45 cm side length to cubic feet.
Use the formula: V(ft³) = (L(cm) ÷ 30.48)³.
V = (45 ÷ 30.48)³ ≈ 3.218 ft³
