Volume calculator

Calculate the volume of an object

Calculating the volume of three-dimensional shapes

The volume of a three-dimensional shape, also called a 3D shape or solid, is the amount of space it occupies. This quantity is typically expressed in cubic units. Different types of three-dimensional shapes have different formulas for calculating volume.

Cube

A cube is a unique 3D shape where all sides have the same length. The volume of a cube is calculated by raising the length of one side to the third power.

V = side³

Rectangular prism

A rectangular prism, also known as a cuboid, is a 3D shape whose side faces are rectangles. The volume of a rectangular prism is calculated by multiplying the length, width, and height. This is because a rectangular prism is essentially a stack of identical rectangles.

V = l x w x h

Sphere

A sphere is a perfectly symmetrical 3D shape. The volume of a sphere is calculated by taking 4/3 times pi times the radius raised to the third power.

V = 4/3πr³

Cylinder

A cylinder is a 3D shape with two circular bases and a rectangular side face. The volume of a cylinder is calculated by multiplying pi times the radius of the base squared by the height.

V = πr²h

Pyramid

A pyramid is a 3D shape with a polygon base and triangular side faces that converge at a common point, the apex. The volume of a pyramid is calculated by multiplying the area of the base with the height, then dividing by 3.

V = B * h/3

Cone

A cone is a 3D shape with a circular base and a curved side face that terminates at a point, the apex. The volume of a cone is calculated by multiplying the area of the base with the height, then dividing by 3.

V = πr²h/3

Regardless of which 3D shape you want to calculate volume for, make sure all your measurements are in the same units. This ensures that your calculation is accurate.