CM³ Calculator
Use this tool to calculate volume in cubic centimeters (cm³) for common 3D shapes, then instantly convert the result into mL, liters, cubic meters, cubic inches, and cubic feet.
Formula: Volume = length × width × height
Formula: Volume = π × radius² × height
Formula: Volume = (4/3) × π × radius³
Formula: Volume = (1/3) × π × radius² × height
Unit Converter to cm³
What is cm³?
Cubic centimeters (cm³) measure volume — the amount of three-dimensional space an object takes up. If you multiply length, width, and height in centimeters, the result is in cubic centimeters. This unit is commonly used in science, engineering, medicine, automotive specs (engine displacement), packaging, and everyday container measurements.
How to use this cm3 calculator
1) Calculate volume from shape dimensions
- Select a shape: rectangular prism, cylinder, sphere, or cone.
- Enter dimensions in centimeters.
- Click Calculate Volume to get volume in cm³ plus key conversions.
2) Convert from other units to cm³
- Enter a value.
- Choose the source unit (L, m³, in³, ft³, etc.).
- Click Convert Units to view equivalent values in all supported units.
Common formulas for volume (in cm³)
- Rectangular prism: V = l × w × h
- Cylinder: V = πr²h
- Sphere: V = (4/3)πr³
- Cone: V = (1/3)πr²h
Always keep units consistent. If your measurements are in cm, your final volume is in cm³. If some values are in mm or meters, convert first before calculating.
Unit relationships you should know
- 1 cm³ = 1 mL
- 1000 cm³ = 1 L
- 1,000,000 cm³ = 1 m³
- 1 in³ = 16.387064 cm³
- 1 ft³ = 28,316.846592 cm³
Practical examples
Example A: Storage box
A box is 30 cm long, 20 cm wide, and 15 cm high.
Volume = 30 × 20 × 15 = 9000 cm³ = 9000 mL = 9 L.
Example B: Water bottle cylinder
A cylindrical bottle has radius 3.2 cm and height 20 cm.
Volume = π × (3.2)² × 20 ≈ 643.4 cm³, about 643 mL.
Example C: Convert liters to cm³
2.5 L × 1000 = 2500 cm³.
Where cm³ calculations are useful
- Estimating liquid capacity in lab containers.
- Measuring product volume for shipping and packaging.
- Comparing engine displacement in automotive applications.
- Calculating material requirements in manufacturing or 3D printing.
- Checking medication syringes and dosage containers where mL and cm³ are interchangeable.
Tips to avoid mistakes
- Do not confuse area (cm²) with volume (cm³).
- Use radius, not diameter, in sphere/cylinder/cone formulas unless converted first.
- Round only at the end for better precision.
- Verify that all input dimensions are in centimeters.
Final thoughts
This cm3 calculator is designed to be fast, practical, and accurate. Whether you are a student solving geometry problems, an engineer checking dimensions, or simply converting between milliliters and liters, this tool gives immediate results with clear unit conversions.