Wednesday, September 12, 2012

Definition of Triangular Pyramid

Introduction to the definition of triangular pyramid:
In this article we see about definition of triangular pyramid. Pyramid is a polyhedron 3 – dimensional geometric shape. The pyramid has 4 – vertices. Out of them 3 are base of the pyramid and one is top of the pyramid.

Types of pyramid:

Square pyramid
Rectangular pyramid
Triangular pyramid
Pentagonal pyramid
These are some of the types of pyramid. In this section we see about definition of triangular pyramid.

Definition of Triangular Pyramid:
A pyramid which has a triangular base is said to be triangular pyramid.


Types of triangular pyramid:

Equilateral triangular pyramid – base of this pyramid is equilateral triangle
Isosceles triangular pyramid – base of this pyramid is isosceles triangle
Scalene triangular pyramid – base of this pyramid is scalene triangle
Volume of a triangular pyramid = `1/3` area of the triangle x length

Volume = `1/3` x `1/2 ` x base x height x length

That is volume = `1/6 xx b xx h xx l`

Let example we see some of the example problems for triangular pyramid.

I am planning to write more post on math problems for 6th grade, how to divide decimals with whole numbers. Keep checking my blog.

Example Problems – Definition of Triangular Pyramid:

Example problems 1 – definition of triangular pyramid:

Calculate the volume of triangular pyramid where the base is 6.5 m, height is 14.6 m and length is 15.4m.

Solution:

Given:

Base b = 6.5 m

Height h = 14.6 m

Length l = 15.4 m

Volume of triangular pyramid = `1/6` x b x h x l

= `1/6` x 6.5 x 14.6 x 15.4

= `1/6 ` 1461.46

= 243.57

Answer: volume of a triangular pyramid = 243.57 cubic meter.

Example problem 2 – definition of triangular pyramid:

Calculate the volume of triangular pyramid where the base is 12 m, height is 20 m and length is 15m.

Solution:

Given:

Base b = 12 m

Height h = 20 m

Length l = 15 m

Volume of triangular pyramid =` 1/6` x b x h x l

= `1/6` x 12 x 20 x 15

= `1/6` 3600

= 600

Answer: volume of a triangular pyramid = 600 cubic meter.

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