Formula Math Of Triangular Prism Definition :
A Triangular Prism is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.
Formula Math Of Triangular Prism :
Area of Base [ A ] = ½ . a . b
Perimeter of Base [ P ] = s.1 + s.2 + s.3
Surface Area of Prism = a.b + [s.1+ s.2 + s.3].h = a.b + P.h
Volume of Prism = ½ . a . b . h = A.h
Note :
a = altitude, b = base, h = height and s1, s2, s3 are sides
Example
Question : 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.Question : Find the area of the base.
Answer : Area of the base [ A ] = ½ . a . b = 0.5 . 2 . 3 = 3.
Question : Find the perimeter of the base.
Answer : Perimeter of the base [ P ] = s.1 + s.2 + s.3 = 1 + 2 + 3 = 6.
Question : Find the surface area of prism.
Answer : Surface Area of Prism =
a.b + P.h = [ 2 . 3 ] + [ 6 . 4 ] = 6 + 24 = 30.
Question : Find the volume of prism.
Answer : Volume of Prism = A.h = 3 . 4 = 12.
Question : Find the volume of prism.
Answer : Volume of Prism = A.h = 3 . 4 = 12.
That is example Formula Math Of Triangular Prism
Definition will clearly illustrates how to calculate the Volume, Surface
Area, Perimeter of a Triangular Prism.