Volume Calculator

Calculate the volume of any 3D geometric shape with precision. Get instant results with detailed formulas and step-by-step solutions.

Select 3D Shape

Volume Formulas

Cube

V = s³

Where s is the side length

Sphere

V = (4/3)πr³

Where r is the radius

Cylinder

V = πr²h

Where r is radius, h is height

Cone

V = (1/3)πr²h

Where r is radius, h is height

Rectangular Prism

V = l × w × h

Where l, w, h are length, width, height

Pyramid

V = (1/3)Bh

Where B is base area, h is height

Volume Calculator FAQ

Volume is the amount of three-dimensional space occupied by an object or enclosed within a container. It's measured in cubic units such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

Volume calculation varies by shape: cubes use s³, spheres use (4/3)πr³, cylinders use πr²h, and cones use (1/3)πr²h. Each formula accounts for the specific three-dimensional properties of the shape.

Different 3D shapes require specific volume formulas:

  • Cube: V = s³ (where s is side length)
  • Sphere: V = (4/3)πr³ (where r is radius)
  • Cylinder: V = πr²h (where r is radius, h is height)
  • Cone: V = (1/3)πr²h (where r is radius, h is height)
  • Rectangular Prism: V = l×w×h (where l, w, h are dimensions)

Volume: Measures the three-dimensional space contained within an object (3D measurement in cubic units). It tells you how much space the object occupies or how much material it can hold.

Surface Area: Measures the total area of all outer surfaces (2D measurement in square units). It tells you how much material is needed to cover the object completely.