Volume of Triangular Prism

Geometry deals with shapes, structures, lines, planes and angle’s. Geometry learning is also known as architectural learning. Basic shapes of geometry are square, triangle, rectangle, parallelogram, trapezoid etc. Triangle is one of the basic shapes in geometry. The total internal angle of the triangle is 180 degree.

Prism:

In mathematics, prism is one interesting shapes in geometry. It is a polyhedron of n-sided prism which has a base of n-sided polygonal, copy of a translated which has joining n faces with the sides.

Definition of volume:

In mathematics, Volume is one interesting measure of geometry. It is an amount of three-dimensional space of an object occupies.

Formula for finding the Volume of triangular prism:

The formula used for finding the volume of triangular prism, is given as,

Volume of triangular prism = Base area x Length of prism

Base area of prism =` (bh)/2`

Where, b = base of the triangle

            h = height of the prism.

           First the base area of the triangular prism is to be calculated. Using that value the volume of the prism can be calculated.

Volume of triangular prism Problems:

Example 1:

Find the volume of the triangular prism, whose base is 7 cm, height is 9 cm and length is 12 cm.


Solution:
The formula used for finding the volume of triangular prism, is given as,
Volume of triangular prism = Base area x Length of prism
Given: b = 7 cm, height = 9cm and length = 12cm
Base area =` (bh)/2`
                = `(7*9)/2`
                = `63/2`
                = 31.5 cm²
Volume     = 31.5*12
                = 378 cm³.
The answer is 378 cm³.

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Example 2:
Find the volume of the triangular prism, whose base is 5.5 cm, height of the prism is 9 cm and length is 7 cm.



Solution:
The formula used for finding the volume of triangular prism, is given as,
Volume of triangular prism = Base area x Length of prism
Given: b= 5.5 cm, height = 9 cm and length = 7 cm.
Base area = `(bh)/2`
                = `(5.5*9)/2`
                = `49.5/2`
                = 24.75 cm².
Volume     = 24.75*7
                = 173.25 cm³.
The answer is 173.25 cm³.