Geometric shapes, Perimeter, Area, Surface Area, Volume are some of the words that we come across frequently while studying geometry. 

Below you will find some quick grabs on this topic 

Key Terminologies related to shapes, perimeter and area

Poly = ‘Many’                 Gon = ‘Angle’

A geometric shape formed by multiple angles or sides is called a polygon. example: Traingle, Rectangle etc. 

Poly = “Many’                Hedron = ‘Face’

A 3 dimensional geometric shape with multiple faces, edges and vertices, in such a way that each vertex connects multiple faces joining, is called a polyhedron. ex: Cube, Cuboid etc

A flat surface which makes boundary of a polyhydron is called the face of the polyhydron.

vertex is a corner point of a polygon or a polyhedron formed by the intersection of their edges or faces.

vertex is a corner point of a polygon or a polyhedron formed by the intersection of their edges or faces. 

Plural of vertex is vertices.

A segment that joins the polygon’s center to the midpoint of any side that is perpendicular to that side.

To find the apothem, In a regular polygon, divide the length of one side by 2 times the tangent of 180 degrees divided by the number of sides.

 

In a 2 dimensional figure, the surface occupied by the polygon is called its area. 

To calculate area of a regular polygon: 

A = 0.5 x perimeter x length of Apothem

 

The surface area of a polyhedron is the sum of the area of all of its faces. 

S.A = Σ (area of all faces of the polygon)

Said another way, the surface area is the total area covered by the net of a polyhedron

Volume is the space enclosed by the boundary occupied by the 3-dimensional shape

Formulae

To get complete details, including content, assignments and guidance, on chapters of Mensuration, please 

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