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# Pyramid

A pyramid is a three-dimensional figure which is formed by joining vertices of a polygonal base to a point called apex. In other words, pyramid is a 3D shape that is obtained by connecting three or more triangles all together. A pyramid is shown below:

Following are few terminologies related to a pyramid -
• Lateral Faces: The slant faces are known as lateral faces.
• Apex: The point where all the lateral faces meet is called apex.
• Base: The face opposite to apex is base.
• Edge: Line where two faces meet is called edge.
• Vertex: The corners of each face are called vertices.
• Height: The perpendicular drawn from the apex to the base is referred as height of the pyramid.
• Slant Height: It is the line segment joining apex and midpoint of base of each lateral face is known as slant height.

If a pyramid has "n" number of sides in its base, then number of faces, vertices and edges will be n + 1, n + 1 and 2n respectively. For example:
A triangular pyramid has 4 faces, 4 vertices and 8 edges.

 Related Calculators Pyramid Calculator Area of a Pyramid Calculator Pyramid Volume Calculator Square Pyramid Volume Calculator

## Types of Pyramids

A triangle with triangular base is called triangular pyramid. A triangle with rectangular, square, pentagonal, hexagonal base are known as rectangular pyramid, square pyramid, pentagonal pyramid, hexagonal pyramid respectively and so on. A pyramid that has 4 equilateral triangular faces is known as regular tetrahedron.

## Volume of a Pyramid

Volume of a pyramid is the space enclosed by it. Volume of a pyramid is given by the following formula:
$V =$$\frac{1}{3}bh$
Where, V = Volume
b = Area of base
h = Height of the pyramid

## Lateral Surface Area of a Pyramid

LSA = $\frac{1}{2}$. Perimeter of base . Slant height