Triangle Faces

Introduction to triangle faces:

Faces deals in geometry chapter. Face is any shape which made by their boundaries. All three-dimensional shapes have its own number of faces.

All 3 dimensional pyramid shapes has triangle faces.

Pyramid is a type of polyhedron made by joining any polygon base and apex. Every base shape vertices and apex made a triangle face.

There are many types of pyramids. In this article, we discuss about two pyramids such as Square Pyramid and Triangular Pyramid.
Triangle Faces – Square Pyramid:

Square Pyramid:

Square Pyramid

It is a pyramid shape having a base is square. In square pyramid, we have five vertices, four triangle faces. Square pyramid has 8 edges, 5 vertices. Let us see about how to calculate volume of square pyramid:

Formula:

Volume of square pyramid = `[1/3*base^2*height]`

Example 1:

Find the volume of square pyramid for the given base side is 6 meter and height is 10 meter.

Solution:

Given:

Base side = 6 m

Height = 10 m

Volume of square pyramid = `[1/3*base^2*height]`

=` [1/3*6^2*10]`

= 0.333 * 36 * 10

= 119.88

Therefore, Volume of square pyramid is 120 cubic meter.
Triangle Faces – Triangular Pyramid:

Triangular Pyramid:

Triangular Pyramid

It is a pyramid shape having a base is Triangle. In triangular pyramid, we have four vertices, four triangle faces. Triangular pyramid has 6 edges, 4 vertices. It is also known as Tetrahedron. All triangles are equilateral triangles. Let us see about how to calculate volume of triangular pyramid:

I am planning to write more post on Acute Scalene Triangle and its example and, What are Angles and its problem with solution. Keep checking my blog.

Formula:

Volume of triangular pyramid = `[1/6*base*height*HEIGHT]`

Example 2:

Find the volume of triangular pyramid for the given base is 5 meter , height is 10 meter and HEIGHT is 11 meter.

Solution:

Given:

Base = 5 m

Height = 10 m

HEIGHT = 11 m

Volume of Triangular pyramid = `[1/6*base*height*HEIGHT]`

= `[1/6*5*10*11]`

= 0.167 * 550

= 91.85

Therefore, Volume of triangular pyramid is 92 cubic meter.

please read my last blog Sequences and Series   and share your view

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