#
Prism Formulas for Competitive Exams

## 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

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**

**Geometry:****Also Read:**

Prism Formulas for Competitive Exams

Reviewed by SSC NOTES

on

November 13, 2021

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