Volume Calculator

Calculate the volume of various 3D shapes with instant results. Choose from cube, sphere, cylinder, cone, pyramid, and more.

Select 3D Shape

Cube
a³
Sphere
4/3πr³
Cylinder
πr²h
Cone
1/3πr²h
Rectangular
l×w×h
Pyramid
1/3×base×h

Volume Calculator

Shape Dimensions
Select a shape above to start calculating

Choose from cube, sphere, cylinder, cone, rectangular prism, or pyramid

Calculation Result
Volume

0

cubic units
Volume Formulas Reference
Basic Shapes
  • Cube: V = a³ (where a = side length)
  • Rectangular Prism: V = l × w × h
  • Sphere: V = (4/3)πr³
Advanced Shapes
  • Cylinder: V = πr²h
  • Cone: V = (1/3)πr²h
  • Square Pyramid: V = (1/3) × base area × height

About This Tool

About Volume Calculator

The Volume Calculator is a comprehensive tool for calculating the volume of various 3D geometric shapes. Whether you need to find the volume of a cube, sphere, cylinder, cone, rectangular prism, or pyramid, this calculator provides accurate results with detailed step-by-step calculations and mathematical formulas.

Perfect for students, engineers, architects, and anyone working with 3D measurements. The calculator supports multiple units of measurement and shows the complete calculation process, making it an excellent learning tool for geometry and mathematics.

How to Use
  1. Select Shape: Click on one of the 6 available 3D shapes (cube, sphere, cylinder, cone, rectangular prism, pyramid)
  2. Enter Dimensions: Input the required measurements for your selected shape (length, width, height, radius, etc.)
  3. Choose Unit: Select your preferred unit of measurement (cm, m, mm, inches, feet, yards)
  4. View Results: The volume is calculated automatically as you enter values
  5. Study Formula: Review the mathematical formula used for the calculation
  6. Check Steps: Examine the step-by-step calculation process
  7. Copy Result: Use the copy button to save results to clipboard
  8. Reset & Recalculate: Clear inputs to calculate different shapes or dimensions
Tips & Best Practices
Measurement Tips:
  • Ensure all measurements use the same unit
  • Use decimal values for precise calculations
  • Double-check your measurements before calculating
  • For irregular shapes, use the closest regular shape approximation
  • Remember that volume is always expressed in cubic units
Practical Applications:
  • Construction and architecture planning
  • Material quantity estimation
  • Container capacity calculations
  • Educational geometry problems
  • Engineering design projects
  • Packaging and shipping calculations
Supported 3D Shapes
Basic Shapes:
  • Cube: V = a³ (side length cubed)
  • Rectangular Prism: V = l × w × h
  • Sphere: V = (4/3)πr³
Advanced Shapes:
  • Cylinder: V = πr²h
  • Cone: V = (1/3)πr²h
  • Square Pyramid: V = (1/3) × base area × height
Unit Conversions

The calculator supports multiple units of measurement:

Metric Units:
  • Millimeters (mm)
  • Centimeters (cm)
  • Meters (m)
Imperial Units:
  • Inches (in)
  • Feet (ft)
  • Yards (yd)
Note: All calculations use standard mathematical formulas. Results are displayed in the selected unit cubed (e.g., cubic meters, cubic feet).

Features & Use Cases

  • 6 3D Shapes: Cube, sphere, cylinder, cone, rectangular prism, pyramid
  • Interactive Selection: Visual shape picker with formula preview
  • Real-time Calculation: Instant results as you enter dimensions
  • Step-by-Step Solutions: Detailed calculation breakdown
  • Formula Display: Mathematical formulas with explanations
  • Multiple Units: Support for metric and imperial measurements
  • Copy Results: One-click copying to clipboard
  • Reset Function: Easy clearing of inputs for new calculations
  • Educational Tool: Perfect for learning geometry concepts
  • Mobile Friendly: Responsive design for all devices

Frequently Asked Questions

The calculator supports 6 common 3D shapes: cube, sphere, cylinder, cone, rectangular prism (cuboid), and square pyramid. Each shape has its specific formula and required measurements.

Requirements vary by shape: Cube needs side length, Sphere needs radius, Cylinder needs radius and height, Cone needs base radius and height, Rectangular prism needs length, width, and height, Pyramid needs base side length and height.

Yes, the calculator supports both metric (mm, cm, m) and imperial (inches, feet, yards) units. Just ensure all your measurements use the same unit for accurate results.

The calculations use standard mathematical formulas and provide high precision results. For shapes involving π (pi), the calculator uses JavaScript's built-in Math.PI constant for maximum accuracy.

This feature shows you the complete calculation process, including the formula used, substitution of values, and intermediate steps. It's perfect for learning and verifying calculations.

The calculator is designed for regular geometric shapes. For irregular shapes, you can approximate using the closest regular shape or break the object into multiple regular shapes and calculate separately.

Volume calculations can result in very small decimals or very large numbers depending on your measurements. The calculator automatically formats results using scientific notation when appropriate for better readability.

Volume is always expressed in cubic units. For example, if you measure in meters, the result will be in cubic meters (m³). If you measure in feet, the result will be in cubic feet (ft³).

Absolutely! The calculator is an excellent educational tool. The step-by-step solutions help you understand the calculation process, and you can verify your manual calculations.

This calculator is perfect for construction estimates. You can calculate concrete volumes, material quantities, and container capacities. Just ensure you use consistent units and account for any waste factors in your project planning.