###
**Problems on Mensuration are asked in
SBI PO, IBPS, SSC CGL and all other competitive exams which makes it a very
important topic. Read on for an Introduction to Mensuration along a list of Mensuration
Formulas****.**

Introduction
to Mensuration is important to help you clear your basics and master this important
topic for IBPS and Government Exams. We have all studied this topic in high
school and know that it is a formula oriented topic. There are specific
formulas for different parameters, we put the values in these Mensuration
formulas and get the desired answers. But at the same time it is also a
calculation heavy topic so it is crucial that you use smart methods for these
calculations.

###
**What is Mensuration?**

Mensuration
is a topic in Geometry which is a branch in mathematics. Mensuration deals with
length, area and volume of different kinds of shape- both 2D and 3D. So moving
ahead in introduction to Mensuration, let us discuss what are 2D and 3D shapes
and the difference between them.

###
**What is a 2D Shape?**

Moving ahead
with our introduction to Mensuration let’s discuss what is a 2D shape. A

**is a shape that is bounded by three or more straight lines or a closed circular line in a plane. These shapes have no depth or height; they have two dimensions- length and breadth and are therefore called 2D figures or shapes. For 2D shapes we measure area (A) and perimeter (P).***2D shape*###
**What is a 3D Shape?**

The next
step in introduction to Mensuration is finding out what is a 3D shape. A

**is a shape that is bounded by a number of surfaces or planes. These are also referred to as solid shapes. These shapes have height or depth unlike 2D shapes; they have three dimensions- length, breadth and height/depth and are therefore called 3D figures. 3D shapes are actually made up of a number of 2D shapes. Also know as solid shapes, for 3D shapes we measure Volume (V), Curved Surface Area (CSA), Lateral Surface Area (LSA) and Total Surface Area (TSA).***3D shape*###
**Introduction to Mensuration:
Important Terms**

Before we
move ahead to the list of important mensuration formulas, we need to discuss
some important terms that constitutes these mensuration formulas.

**- The surface occupied by a given closed shape is called its**

*Area (A)***. It is represented by the alphabet A and is measured in unit square- m**

*area*^{2}/ cm

^{2}.

**– The length of the boundary of a figure is called its**

*Perimeter (P)***. In other words, it is the continuous line along the periphery of the closed figure. It is represented by the alphabet P and is measures in cm/ m.**

*perimeter***– The space that is contained in a three dimensional shape is called its**

*Volume (V)***. In other words, it is actually the space that is enclosed in a 3D figure. It is represented by the alphabet V and is measured in cm**

*volume*^{3}/ m

^{3}.

**– In solid shapes where there is a curved surface, like a sphere or cylinder, the total area of these curved surfaces is the**

*Curved Surface Area (CSA)***. . The acronym for this is CSA and it is measured in m**

*Curved Surface Area*^{2}or cm

^{2}.

**– The total area of all the lateral surfaces of a given figure is called its**

*Lateral Surface Area (LSA)***. Lateral Surfaces are those surfaces that surround the object. The acronym for this is LSA and it is measured in m**

*Lateral Surface Area*^{2}or cm

^{2}.

**- The sum of the total area of all the surfaces in a closed shape is called its**

*Total Surface Area (TSA)***. For example, in a cuboid when we add the area of all the six surfaces we get its Total Surface Area. The acronym for this is TSA and it is measured in m**

*Total Surface Area*^{2}or cm

^{2}.

**- One**

*Square Unit (m*^{2}/ cm^{2})**is actually the area occupied by a square of side one unit. When we measure the area of any surface we refer to this square of side one unit and how many such units can fit in the given figure. It is expressed as m**

*square unit*^{2}or cm

^{2}, depending on the unit in which the area is being measure.

**- One**

*Cube Unit (m*^{3}/ cm^{3})**is the volume occupied by a cube of side one unit. When we measure**

*cubic unit**the volume of any figure we actually refer to this cube of side one unit and how many such unit cubes can fit in the given closed shape. It is written in*

**, depending on the unit that is being used to measure.**

*m*^{3}or cm^{3}###
**List of Mensuration Formulas**

Now that our
introduction to mensuration and the important terms is over let’s move to the
mensuration formulas since this is a formula based topic. Every 2D and 3D
figure has a list of mensuration formulas that establish a relationship amongst
the different parameters. Let’s discuss the mensuration formulas of some
shapes.

###
**Square: Mensuration Formulas**

###
**Rectangle: Mensuration Formulas**

###
**Scalene Triangle: Mensuration
Formulas**

###
**Equilateral Triangle: Mensuration
Formulas**

###
**Isosceles Triangle: Mensuration
Formulas**

###
**Right Angled Triangle: Mensuration
Formulas**

###
**Circle: Mensuration Formulas**

###
**Cube: Mensuration Formulas**

###
**Cuboid: Mensuration Formulas**

###
**Sphere: Mensuration Formulas**

###
**Hemisphere: Mensuration Formulas**

###
**Cylinder: Mensuration Formulas**

###
**Cone: Mensuration Formulas**

You should
know his entire list of Mensuration Formulas by heart to be able to solve
questions. Read the next post in this series where we discuss how to solve simpleand complex problems on 2D shapes.

Till then- Don’t Stop Practicing!

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