CalcArcade.

Volume Calculator

Choose a shape, pick your unit and enter the measurements. You get the volume and the total surface area.

Your numbers

Result

How we calculate it

Cube: volume a³, surface area 6a². Box: volume l × w × h, surface area 2 × (l×w + l×h + w×h). Cylinder: volume π × r² × h, surface area 2 × π × r × (r + h). Cone: volume π × r² × h ÷ 3, surface area π × r × (r + slant height). Sphere: volume 4 ÷ 3 × π × r³, surface area 4 × π × r². Pyramid: volume length × width × height ÷ 3.

For the cone, the slant height is √(r² + h²). For the pyramid, the tip is assumed to be directly above the centre of the base, and the surface area adds the base and four triangle faces. A cylinder with radius 2 and height 5 has a volume of 62.83 and a surface area of 87.96.

Assumptions and limits

  • Volume is in your unit cubed, for example cm³ or ft³, and surface area in your unit squared.
  • The cone and cylinder surface areas include the circular base or bases.
  • Use the concrete or paint calculators for building materials, which add waste and coverage.

Frequently asked questions

How do I find the volume of a cylinder?

Multiply π by the radius squared, then by the height. A radius of 2 and a height of 5 give about 62.83.

Why is a cone one third of a cylinder?

A cone with the same base and height as a cylinder holds exactly one third as much. The same one third rule applies to a pyramid and a prism.

What is the difference between volume and surface area?

Volume is the space inside a solid, in cubic units. Surface area is the total area of its outside, in square units.

Related calculators

Worked example (a fixed example using the starting numbers, it does not change as you type)

Inputs: Shape = Cylinder; Unit = centimeters (cm); Radius = 2; Height = 5.

  • Volume 62.8319 cm³
  • Surface area 87.9646 cm²

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Last reviewed: . Formulas and assumptions are described on our methodology page. For information only; not professional advice.