# Triangular Prism Tutorial

## Triangular Prism Tutorial

##### Prism Definition:

A prism is a polyhedron made of an n-sided polygonal base, a translated copy, and n faces joining corresponding sides.

##### Triangular Prism Definition:

A Triangular Prism is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

#### Triangular Prism Formula :

Area of Base(A) = ½ * a * b
Perimeter of Base(P) = s1 + s2 + s3
Surface Area of Prism = ab + (s1 + s2 + s3)h = ab + Ph
Volume of Prism = ½ * a * b * h = Ah
###### where

a = altitude, b = base, h = height and s1, s2, s3 are sides
##### Triangular Prism Image/Diagram

##### Triangular Prism Example :

###### Case 1:

Find the surface area and volume of a triangular prism with the given altitude 2, base 3, height 4 and the sides 1, 2, 3.

###### Step 1:

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

###### Step 2:

Find the perimeter of the base.
Perimeter of the base(P) = s1 + s2 + s3 = 1 + 2 + 3 = 6.

###### Step 3:

Find the surface area of prism.
Surface Area of Prism = ab + Ph = (2 * 3) + (6 * 4) = 6 + 24 = 30.

###### Step 4:

Find the volume of prism.
Volume of Prism = Ah = 3 * 4 = 12.
The above example will clearly illustrates how to calculate the Volume, Surface Area, Perimeter of a Triangular Prism manually.

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