Concepts and formulae of Pyramid and Tetrahedron for SSC CGL

Note: To Get www.qmaths.in instant updates in Mobile/Desktop, Subscribe to our Notification by Clicking the Red Bell Button at Lower Right Side of your screen. (For Google Chrome and Mozilla browser only).

Detailed Concepts and formulae of Pyramid and tetrahedron for SSC CGL Exam


A Pyramid is a three-dimensional polyhedron of which one face is a polygon of any number of sides, and the other faces are triangles with a common vertex.

A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.














Right Pyramid: A right pyramid has its apex directly above the centroid of its base.

Regular Pyramid: A regular pyramid has a regular polygon base.

Generic Formulas: 


Volume Of Pyramid 1/3× Base Area × Height

Surface Area Of pyramid = 1/2 × Perimeter of base  × Slant Length


(only when all side faces are the same)

Surface Area = Base Area + Lateral Area
(When side faces are different)


Regular Right Pyramid with Square base (pentahedron):


Square pyramid is a pyramid having a Square base and the other faces are all triangles.

There are (4+1) faces, 5 vertices and 8 edges in a pentahedron.







Formulas: 

                                         
                                             
     V = 1/3 Bh 



where, e is the edge length, s is the slant height, h is the height, A is the Surface area, AL is the lateral Surface area, B is the area of the square base and a is the length of a side of the base.

   


Regular Right Pyramid with Triangular base (Tetrahedron):


triangular pyramid is a pyramid having a triangular base. 

The tetrahedron is a triangular pyramid having congruent equilateral triangles for each of its faces.

There are 4 faces, 4 vertices and 6 edges in a tetrahedron.



    h = (√2)/(√3) * (Side)

    AL = (3√3)/4 * (Side)2



    A = (4√3)/4 * (Side)2

    V = (√2)/12 * (Side)3                (Since V= 1/3 Bh )



where, e is the edge length, s is the slant height, h is the height, AL is the lateral Surface area, A is the Surface area, V is Volume, B is the area of the base and a is the length of a side of the base.



|| Prism, || Cone, || Cylinder,  || Sphere,Hemispheres, || 
|| Parallelepiped,  || Pyramid ||

Click Here to Join SSC CGL 2017 Preparation Group on Facebook





Concepts and formulae of Pyramid and Tetrahedron for SSC CGL Concepts and formulae of Pyramid and Tetrahedron for SSC CGL Reviewed by Admin on 1:54:00 PM Rating: 5
Powered by Blogger.