# Triangular Pyramid Tutorial

## Triangular Pyramid Tutorial

##### Pyramid Definition:

A pyramid is a polyhedron with one face as base, a polygon and all the other faces triangles meeting at a common polygon vertex as the apex.

##### Triangular Pyramid Definition:

A Triangular Pyramid is a pyramid having a triangular base.

#### Triangular Pyramid Formula :

Area of Base(A) = ½ * a * s Surface Area of Pyramid = (½ * a * s) + ((3/2)sl) = A + ((3/2)sl) Volume of Pyramid = (1/6)abh
###### where
a = apothem length, s,b = side, h = height and l = slant height
##### Triangular Pyramid Image/Diagram ##### Case 1:

Find the surface area and volume of a triangular pyramid with the given apothem length 2, side 3, height 4 and the slant height 5.

###### Step 1:

Find the area of the base. Area of the base(A) = ½ * a * s = 0.5 * 2 * 3 = 3.

###### Step 2:

Find the surface area of pyramid. Surface Area of Pyramid = A + ((3/2)sl) = 3 + ((3/2) * 3 * 5) = 3 + (1.5 * 15) = 3 + 22.5 = 25.5.

###### Step 3:

Find the volume of pyramid. Volume of Pyramid = (1/6)abh = (1/6) * 2 * 3 * 4 = 0.17 * 24 = 4.08. The above example will clearly illustrates how to calculate the Volume, Surface Area of a Triangular Pyramid manually.

#### Related Calculator:

This tutorial will help you dynamically to find the Math area problems.