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.
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.
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
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
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
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