Pyramid Area and Volume Calculator

Online Pyramid Area and Volume Calculator: Calculate the volume and area of a Pyramid based on its Slant Length, Base Area, Base Perimeter and height. Enter two unknowns in the form and press the CALCULATE button.

Table of contents:

What is a Pyramid?

A pyramid is a solid that has:

- A base formed by a polygon (triangle, square, pentagon, hexagon etc ...)

- Side faces of triangular shape all having a common apex corresponding to the apex of the pyramid.

A pyramid is in particular characterized by its height: it is the straight line perpendicular to its base and passing through the top of the pyramid.

The characteristics of the Pyramid

A pyramid is made by connecting a base to an apex.

It has 5 vertices.

The base is a polygon and all other faces are triangles.

It has 4 side faces.

A pyramid is particularly characterized by its height

Calculate the lateral area of a regular pyramid

In cases where the solid is a right pyramid whose base is a regular polygon, then the side faces are isosceles isometric triangles.

Slant Length: S

Base Perimeter: P

Hence the formula for calculating the area A of a pyramid:

A = 1/2 . P . S

Calculate the total area of a pyramid

The total area of a pyramid is obtained by adding its lateral area and the area of its base.

lateral area: AL

Base area: AB

Hence the formula for calculating the total area AT of a pyramid:

AT = AL + AB

Calculate the volume of the Pyramid

Since this polyhedron is formed by only one base, the formula of its volume will be different from that of prisms.

The volume of a pyramid is calculated by multiplying the area of its base by the length of its height and then dividing the result by 3:

Volume of pyramid = (Area of the base x height)/ 3