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CC Calculator

Calculate volume in cubic centimeters (cc) for various shapes. Convert between different volume units and visualize your calculations.

Select the shape you want to calculate the volume for
Unit of measurement for your dimensions
Length/Side/Radius
Width/Height (if applicable)
Height/Depth (if applicable)

How to Use This Calculator

  1. Select the shape you want to calculate the volume for
  2. Choose the unit of measurement for your dimensions
  3. Enter the required dimensions based on the selected shape
  4. Adjust the decimal precision if needed
  5. Click Calculate to see the volume in cubic centimeters and conversions to other units

Formula Used

Volume Formulas by Shape:

Cube: V = a³

Rectangular Prism: V = l × w × h

Cylinder: V = π × r² × h

Sphere: V = (4/3) × π × r³

Cone: V = (1/3) × π × r² × h

Where:

  • V = Volume
  • a = Side length (cube)
  • l = Length, w = Width, h = Height
  • r = Radius
  • π ≈ 3.14159

Example Calculation

Real-World Scenario:

Calculating the engine displacement of a car engine with 4 cylinders, each with a bore of 86mm and a stroke of 86mm.

Given:

  • Shape = Cylinder
  • Radius (r) = 43mm (half of 86mm bore)
  • Height (h) = 86mm (stroke)
  • Number of cylinders = 4

Calculation:

Volume of one cylinder = π × r² × h = 3.14159 × 43² × 86 = 499,508.5mm³

Convert to cm³: 499,508.5mm³ ÷ 1000 = 499.5cm³

Total engine displacement = 499.5cm³ × 4 = 1998cm³

Result: The engine displacement is 1998 cubic centimeters (cc), commonly rounded to 2.0 liters.

Why This Calculation Matters

Practical Applications

  • Engineering and manufacturing
  • Medical dosage calculations
  • Automotive engine displacement
  • Container capacity planning
  • Scientific research

Key Benefits

  • Standardized unit for volume comparison
  • Easy conversion between metric and imperial
  • Precise measurements for small volumes
  • Universal understanding across industries
  • Accurate dosage calculations in medicine

Common Mistakes & Tips

Always ensure all dimensions are in the same unit before calculating. Mixing centimeters with millimeters or inches will lead to incorrect results. Our calculator handles the unit conversion for you, but when doing manual calculations, convert everything to a consistent unit first.

For cylinders and spheres, the formula requires the radius (distance from center to edge), not the diameter (distance across the entire shape). Remember that radius is exactly half of the diameter. Using diameter instead of radius will result in a volume that's 4 times larger than the correct value.

Each shape has a specific formula for calculating volume. Using the wrong formula will give incorrect results. For example, using the cube formula (a³) for a rectangular prism will only work if all sides are equal. Make sure you're using the correct formula for your specific shape.

Frequently Asked Questions

A cubic centimeter (cc or cm³) is a unit of volume equal to the volume of a cube with sides measuring 1 centimeter each. It's equivalent to 1 milliliter (mL) in the metric system and approximately 0.061 cubic inches in the imperial system.

To convert cubic centimeters to liters, divide the number of cubic centimeters by 1000. For example, 2000 cc equals 2 liters. This is because 1 liter equals 1000 cubic centimeters. Our calculator automatically provides this conversion in the results.

Engine displacement is measured in cubic centimeters because it represents the total volume swept by all the pistons in an engine. This volume directly relates to the engine's power potential and fuel consumption. For example, a 2000 cc engine (often called a 2.0L engine) has pistons that collectively displace 2000 cubic centimeters of space.

The accuracy of the calculations depends on the precision of your input measurements. Our calculator uses standard mathematical formulas with high precision for π (3.141592653589793). You can adjust the decimal precision of the results from 0 to 6 decimal places using the precision slider.

References & Disclaimer

Mathematical Disclaimer

This calculator provides volume calculations based on standard geometric formulas. Results are for informational purposes only and should not be used for critical engineering, medical, or scientific applications without verification by qualified professionals.

References

Accuracy Notice

This calculator provides results based on the mathematical formulas for perfect geometric shapes. Real-world objects may have imperfections that affect actual volume. For precise measurements in professional contexts, use specialized measuring equipment and consult with qualified experts in the relevant field.

About the Author

Kumaravel Madhavan

Web developer and data researcher creating accurate, easy-to-use calculators across health, finance, education, and construction and more. Works with subject-matter experts to ensure formulas meet trusted standards like WHO, NIH, and ISO.

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