Volume Calculator Documentation
Welcome to the Volume Calculator documentation. Here you'll find comprehensive information about volume calculations, including formulas, definitions, unit conversions, and practical examples.
What is Volume?
Volume is the amount of three-dimensional space enclosed by a closed surface. For example, the space that a substance (solid, liquid, gas, or plasma) or 3D shape occupies or contains.
Volume is often quantified numerically using the SI derived unit, the cubic metre. The volume of a container is generally understood to be the capacity of the container, i.e. the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces.
Units of Volume
Volume is commonly measured in cubic units, such as:
- Metric System: Cubic meters (m³), cubic centimeters (cm³), cubic millimeters (mm³), liters (L)
- Imperial/US System: Cubic inches (in³), cubic feet (ft³), cubic yards (yd³), gallons (gal)
Volume Formulas
| Shape | Formula | Variables | Calculator |
|---|---|---|---|
| Cube | V = a³ |
| Use Calculator |
| Rectangular Prism | V = l × w × h |
| Use Calculator |
| Sphere | V = 4/3 × π × r³ |
| Use Calculator |
| Cylinder | V = π × r² × h |
| Use Calculator |
| Cone | V = 1/3 × π × r² × h |
| Use Calculator |
| Triangular Prism | V = 1/2 × b × h × l |
| Use Calculator |
Common Unit Conversions
| From | To | Conversion Factor | Formula |
|---|---|---|---|
| Cubic centimeters (cm³) | Cubic meters (m³) | 1 cm³ = 0.000001 m³ | m³ = cm³ × 10-6 |
| Cubic meters (m³) | Cubic centimeters (cm³) | 1 m³ = 1,000,000 cm³ | cm³ = m³ × 106 |
| Cubic inches (in³) | Cubic feet (ft³) | 1 in³ = 0.000578704 ft³ | ft³ = in³ 1,728 |
| Cubic feet (ft³) | Cubic inches (in³) | 1 ft³ = 1,728 in³ | in³ = ft³ × 1,728 |
| Cubic meters (m³) | Liters (L) | 1 m³ = 1,000 L | L = m³ × 1,000 |
| Liters (L) | Cubic meters (m³) | 1 L = 0.001 m³ | m³ = L × 0.001 |
Help Guides
How to Calculate Volume
General introduction to volume calculation with basic concepts and principles.
Read GuideHow to Calculate Cube Volume
Step-by-step guide to calculating the volume of a cube with examples.
Read GuideHow to Calculate Rectangular Prism Volume
Detailed guide on calculating volume of rectangular boxes and prisms.
Read GuideHow to Calculate Cylinder Volume
Comprehensive explanation of cylinder volume calculations with practical examples.
Read GuideHow to Calculate Triangular Prism Volume
Tutorial on finding the volume of triangular prisms step by step.
Read GuideAPI Documentation
Volume Calculator offers an API that allows developers to integrate our volume calculation capabilities into their own applications.
For detailed information about API endpoints, authentication, and examples, please visit our API documentation page.
Additional Resources
Need more help with volume calculations or our calculators? Check out these additional resources: