Updated Geometry & 3D Shapes

Volume Calculator

Quickly calculate the volume of common 3D shapes: cube, rectangular box, cylinder, sphere, cone, pyramid, and capsule. Use any unit and see results in cubic units.

Cube Box Cylinder Sphere & More

All-in-One Volume Calculator

Select a shape, enter dimensions in your preferred unit, and see the volume in cubic units with optional surface area.

Volume of a cube: V = a³, Surface area: A = 6a².

Volume of a box: V = l × w × h, Surface area: A = 2(lw + lh + wh).

Volume of a cylinder: V = πr²h, Surface area: A = 2πr² + 2πrh.

Volume of a sphere: V = 4⁄3πr³, Surface area: A = 4πr².

Volume of a cone: V = ⅓πr²h, Surface area: A = πr(r + s) where s is slant height.

Volume of a rectangular pyramid: V = ⅓ × base area × height.

Capsule volume: V = πr²h + 4⁄3πr³ (cylinder plus two hemispheres).

Volume Calculator – Cube, Box, Cylinder, Sphere, Cone, Pyramid, and Capsule

This Volume Calculator helps you quickly find the volume of popular 3D shapes using any unit you prefer. Enter your dimensions in centimeters, meters, inches, feet, or any other unit, and the tool returns volume in cubic units based on your label.

Shapes Included in This Volume Calculator

  • Cube: One edge length is used for all sides.
  • Rectangular box: Uses separate length, width, and height.
  • Cylinder: Uses radius and height for round containers and pipes.
  • Sphere: Uses radius for balls and round tanks.
  • Cone: Uses radius and height for cones and funnels.
  • Pyramid: Uses rectangular base dimensions and height.
  • Capsule: Cylinder with two hemispherical ends, useful for tanks and pill-shaped objects.

Key Volume Formulas Used

The calculator is based on standard 3D geometry formulas:

  • Cube: V = a³
  • Rectangular box: V = l × w × h
  • Cylinder: V = πr²h
  • Sphere: V = 4⁄3πr³
  • Cone: V = ⅓πr²h
  • Rectangular pyramid: V = ⅓ × base area × height
  • Capsule: V = πr²h + 4⁄3πr³

Units and Cubic Measures

All volume results are shown in cubic units. For example, if you enter centimeters as your unit label, results will be displayed as cm³. If you enter inches, results are shown as in³. This makes the calculator flexible for both metric and imperial measurements without additional conversions.

When to Use a Volume Calculator

Volume calculations are useful when you need to:

  • Estimate how much liquid a container can hold
  • Calculate material needed to fill a space
  • Compare tank or storage sizes
  • Answer geometry homework questions
  • Plan construction or DIY projects involving concrete, soil, or water

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