Prism Formulas for Competitive Exams
What is Prism?
A polyhedron with two polygonal bases parallel to each other is a prism. In optics, the prism is the transparent optical element with flat polished surfaces that refract light. Lateral faces join the two polygonal bases, and these lateral faces are mostly rectangles. It may be a parallelogram in some cases.
There are two formulas of the prism.
1. The surface area of a prism = (2×BaseArea) +Lateral Surface Area
2. The
volume of a prism = Base Area× Height
Types of Prism
There are different types of prisms. Some of them are:1. Rectangular Prism: In a Rectangular Prism, 2 rectangular bases are parallel to each other and 4 rectangular faces.
The base area of a Rectangular prism = bl
The
surface area of a Rectangular prism = 2(bl+lh+hb)
The volume of a Rectangular prism = lbh
Where b=Base
length, l=base width, h=height
2. Triangular Prism: In a Triangular Prism, there are 2 parallel triangular surfaces, 2 rectangular surfaces that are inclined to each other and 1 rectangular base.
The base area of a Triangular prism = (½)ab
The surface area of a Triangular prism = ab+3bh
The volume of a Triangular prism = (½)abh
Where, a = Apothem length, b=base length, h=height
3. Pentagonal Prism: In a Pentagonal Prism, 2 pentagonal surfaces are parallel to each other and 5 rectangular surfaces that are inclined to each other.
The base area of Pentagonal prism = (5/2)ab
The surface area of a Pentagonal prism = 5ab+5bh
The volume of a Pentagonal prism = (5/2)abh
Where, a
= Apothem length, b=base length, h=height
4. Hexagonal Prism: In a Hexagonal Prism, there are 2 hexagonal surfaces parallel to each other and 6 rectangular surfaces that are inclined to each other.
The base area of hexagonal prism = 3ab
The surface area of a Hexagonal prism = 6ab+6bh
The volume of a Hexagonal prism = 3abh
Where, a = Apothem length, b=base length, h=height
Reviewed by SSC NOTES
on
November 13, 2021
Rating: