Volume Calculator

Calculate the volume of various 3D shapes using their mathematical formulas.

Cube / Rectangular Prism

Formula: V = l × w × h

    ┌─────────┐
   /│        /│
  / │       / │ h (height)
 ┌─────────┐  │
 │  │      │  │
 │  └──────│──┘
 │ /       │ / w (width)
 └─────────┘
   l (length)
  

Cylinder

Formula: V = π × r² × h

     ╭─────╮
     │     │ 
     │     │ h (height)
     │     │
     ╰─────╯
       └─┘
        r (radius)
  

Sphere

Formula: V = (4/3) × π × r³

The sphere volume formula calculates the space inside a perfect ball by using the radius cubed, multiplied by π and 4/3.

      ╭───╮
    ╱       ╲
   │    •────│ r (radius)
    ╲       ╱
      ╰───╯
  

Cone

Formula: V = (1/3) × π × r² × h

       ╱╲
      ╱  ╲
     ╱    ╲ h (height)
    ╱      ╲
   ╱________╲
      └──┘
       r (radius)
  

Pyramid (Square Base)

Formula: V = (1/3) × b² × h

       ╱╲
      ╱  ╲
     ╱    ╲ h (height)
    ╱      ╲
   ╱________╲
   └────────┘
   b (base edge)
  

This tool lets you find the volume of different three-dimensional shapes. You can calculate volumes for cubes, cylinders, spheres, cones, and pyramids using standard formulas.

How to Use This Tool

Follow these steps for each shape:

  1. Look at the diagram and formula. They show which dimension is which.
  2. Enter the required numbers in the input fields.
  3. Click the "Calculate Volume" button.
  4. The calculation will display below the button.

Input Fields Explained

Each shape has its own set of input fields.

Understanding the Output

The result shows the volume in cubic units. The tool also displays the formula with your numbers. This helps you see how the calculation works.

Limitations and Special Notes

The tool only works for standard formulas of five shapes. All measurements must be positive. If you type a negative number or leave a field blank, the tool will ask for correct numbers.

Common Use Cases

Students use this tool for homework that involves volume calculations.

DIY enthusiasts use it to plan space for projects.

People use it to check container sizes or any case that requires volume data.

The diagrams show how dimensions are measured. The formulas are displayed so you know what is happening during the calculation. This makes the tool clear and easy to use.