Volume Calculator: Accurate Formulas for Common Three Dimensional Shapes

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

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

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

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

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

Use this volume calculator to find space fast. It works for cubes and rectangular prisms. It works for cylinders and spheres. It works for cones and square pyramids. Each shape shows the formula you need. Results appear in cubic units with a clear calculation line.

How to Use This Tool

Follow these steps for a quick result.

1. Choose the shape that matches your item.
2. Enter the required values as positive numbers.
3. Use the same unit for every field.
4. Select the Calculate Volume button in that section.
5. Read the Volume line and the Calculation line.

The result shows the volume in cubic units. The next line shows the exact formula with your numbers. The number uses commas and up to two decimals. This helps you check the math at a glance.

Benefits of Using This Volume Calculator

This volume calculator supports clear, step based math. It shows the formula for each shape. It includes cones and square pyramids. The sphere formula and meaning are clear. It checks your inputs and guides you if needed. It saves time and gives clean results.

Step-by-Step Guide to Using the Calculator

Cube / Rectangular Prism

Formula: V = l × w × h

• Length is the side along one edge.
• Width is the side across the length.
• Height is the vertical side.
• Enter each value as a positive number.
• Example result is 150 cubic units for 10 by 5 by 3.

Cylinder

Formula: V = π × r² × h

• Radius is half the diameter of the base circle.
• Height is the straight line from base to top.
• Enter both as positive numbers.
• Example result is about 502.65 cubic units for radius 4 and height 10.

Sphere

Formula: V = (4/3) × π × r³

• Radius is the line from center to the surface.
• Enter radius as a positive number.
• Click Calculate Volume to get the result.
• Example result is about 904.78 cubic units for radius 6.

Cone

Formula: V = (1/3) × π × r² × h

• Radius is the base circle measure.
• Height is the straight line from base to tip.
• Enter both as positive numbers.
• Example result is about 314.16 cubic units for radius 5 and height 12.

Pyramid (Square Base)

Formula: V = (1/3) × b² × h

• Base edge is one side of the square base.
• Height is the line from base center to the top point.
• Enter both as positive numbers.
• Example result is about 213.33 cubic units for base edge 8 and height 10.

Notes and Common Use Cases

Keep these notes in mind for accurate results.

• Use the same unit for all fields, such as centimeters or inches.
• Fill every field in a section.
• Enter positive numbers only.
• Enter the cylinder radius as half the diameter.
• Use a square base for the pyramid shape.
• Results show up to two decimal places.
• Volume shows in cubic units.

Here are common use cases.

• Homework checks for geometry problems.
• Box volume for packing and shipping.
• Water capacity for tanks or aquariums.
• Concrete fill for round holes or footings.
• Grain or liquid storage in a cylinder.
• Kitchen or lab funnels with a cone shape.
• Square pyramid features in models or crafts.

This volume calculator gives fast math with clear steps. Use it to check work and plan materials.

Try it now and see your result. Enter your numbers and get the volume in seconds.