Define :
Pyramid
in maths
Answers
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle, called a lateral face. It is a conic solid with polygonal base. A pyramid with an n-sided base has n + 1 vertices, n + 1 faces, and 2n edges. All pyramids are self-dual.
Answer:
A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. You must have heard about The Great Pyramid of Giza, which is structured in the same concept. Every corner of this structure is linked to a single apex which makes it appear as a distinct shape. In this article, we are going to discuss what is a pyramid shape, different types of the pyramid with formulas and many solved examples.
Table of Contents:
Pyramid Shape
Types of Pyramid
Right Vs Oblique Pyramid
Regular Vs Irregular Pyramid
Pyramid Formula
Examples
FAQs
Pyramid Shape
A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face. If a pyramid has an n-sided base, then it has n+1 faces, n+1 vertices, and 2n edges.
Pyramid
Types Of Pyramids
Based on the shape of the base, the pyramid is classified into different types. Now, let us discuss the different types of pyramid shape one by one.
Triangular Pyramid
If the base of the pyramid is in a triangular shape (base with 3 sides), then the pyramid is called a triangular pyramid. As the triangle has 3 sides, then the triangular pyramid has the following properties:
No. of Faces = (3+1) = 4
No.of Vertices: (3+1) = 4
No. of Edges: 2(3) = 6
Triangular Pyramid
Square Pyramid
If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties:
No. of Faces: (4+1) = 5
No.of Vertices: (4+1)= 5
No. of Edges: 2(4) = 8
Square Pyramid
Pentagonal Pyramid
If the base of the pyramid is in the shape of a pentagon (base with 5 sides), then it is called a pentagonal pyramid. As the pentagon has 5 sides, then the pentagonal pyramid has the following properties:
No. of Faces: (5+1)=6
No.of Vertices: (5+1)=6
No. of Edges: 2(5)= 10
Pentagonal Pyramid
Right Pyramid Vs Oblique Pyramid
Right Pyramid:
The apex of this pyramid is exactly over the middle of the base, hence named as Right Pyramid.
Right Pyramid
Oblique Pyramid
The apex of this pyramid is not exactly over the middle of its base and named as Oblique Pyramid.
Oblique Pyramid
Regular vs Irregular Pyramid
To distinguish between regular and irregular Pyramid, you need to consider the shape of the base. If the base of a polygon is regular, it is labelled as Regular Pyramid, else it is considered as Irregular Pyramid. The figure given below illustrates the regular pyramid and an irregular pyramid.
Step-by-step explanation: