Mensuration is a fundamental concept in mathematics that investigates the measurement of various geometric shapes and figures. It aids us in comprehending the dimensions of various two-dimensional and three-dimensional objects. A 2D shape has only two dimensions, length, and breadth, whereas a 3D figure has three dimensions: length, breadth, and height. The two most common parameters we measure for 2D shapes are area (A) and perimeter (P). Volume(V), total, lateral, and curved surface area are all calculated in 3D.
Learning mathematicsformulas is difficult, especially for students who hate mathematics.
Every class will have an entire chapter dedicated to calculating the area and
perimeter of close planar figures. Mensuration is the topic of geometry in
which geometrical figures and their parameters, which are as follows, must be
measured.
·
Length or breadth
·
Area
·
Perimeter
·
Volume
·
Lateral surface area
·
Curved surface area
·
Total surface area, etc.
Mensuration
formulas for various 2-D and 3-D figures such as square, rectangle, triangle,
circle, cuboid, cube, cylinder, sphere, cone, and hemisphere will be found. Mensurationformulas for Classes 6 to 10 can be found in this article. Before
delving into the mensuration formulas, it's important to understand a few key
terms.
Important
Terms of Mensuration
You must have a thorough understanding of the important definition of mensuration in order to understand and implement geometry in everyday applications. The terms and their definitions are listed below.
|
Terms |
Definitions |
|
Closed Figures |
In geometry, a closed figure is an
enclosed shape with all of its line segments or curves connected to one
another. |
|
Area |
The area of a two-dimensional
close figure is the region it occupies. |
|
Perimeter |
It is the total length of a closed
figure along the boundary. |
|
Circumference |
It is the total distance covered
when you move around the circular path once along the boundary. |
|
Surface Area |
It is the sum of the areas of
faces of a solid figure. |
|
Volume |
The region occupied by a
three-dimensional solid figure is called its volume. |
|
Frustum of a Cone |
When a small conical portion from
the top of a right circular cone is removed, the resulting solid is called a
Frustum of a cone. |
Difference
Between 2d And 3d Shapes
|
2D Shapes |
3D Shapes |
|
The shape which is surrounded by
three or more straight lines in a plane would be referred to as a 2D shape |
The shape which is surrounded by a
no. of surfaces or planes would be referred to as a 3D shape |
|
They have no breadth or height |
These shapes are also termed solid
shapes and have a combination of breadth and height |
|
The perimeter and area of 2D
shapes could be measured. |
The volume of these figures could
be measured as CSA, LSA, or TSA. |
|
Area |
Example: Cube, Sphere, Cone,
Hemisphere, Prism |
