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Volume Calculators

Calculate volume for various 3D shapes

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VolumeCalculator.Co - Free online calculator tool for finding the volume of various 3D shapes with step-by-step solutions and comprehensive unit conversion.

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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

ShapeFormulaVariablesCalculator
Cube
V = a³
  • a: Length of the side
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Rectangular Prism
V = l × w × h
  • l: Length
  • w: Width
  • h: Height
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Sphere
V = 4/3 × π × r³
  • r: Radius
  • π: Pi (approximately 3.14159)
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Cylinder
V = π × r² × h
  • r: Radius of the base
  • h: Height
  • π: Pi (approximately 3.14159)
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Cone
V = 1/3 × π × r² × h
  • r: Radius of the base
  • h: Height
  • π: Pi (approximately 3.14159)
Use Calculator
Triangular Prism
V = 1/2 × b × h × l
  • b: Base length of the triangle
  • h: Height of the triangle
  • l: Length of the prism
Use Calculator

Common Unit Conversions

FromToConversion FactorFormula
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.

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How to Calculate Cube Volume

Step-by-step guide to calculating the volume of a cube with examples.

Read Guide

How to Calculate Rectangular Prism Volume

Detailed guide on calculating volume of rectangular boxes and prisms.

Read Guide

How to Calculate Cylinder Volume

Comprehensive explanation of cylinder volume calculations with practical examples.

Read Guide

How to Calculate Triangular Prism Volume

Tutorial on finding the volume of triangular prisms step by step.

Read Guide

API 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.

View API Documentation

Additional Resources

Need more help with volume calculations or our calculators? Check out these additional resources:

FAQ

Answers to frequently asked questions about volume calculations.

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