Mensuration Formulas for Class 6 to 10

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 mathematics formulas 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