Triangular Prism Image

Introduction to triangular prism image

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. Equivalently, it is a pentahedron of which two faces are parallel, while the surface normals of the other three are in the same plane. These three faces are parallelograms. All cross-sections parallel to the base faces are the same triangle. (Source: Wikipedia)



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Triangular Prism Image

Triangular prism

Volume of the prism

The method utilized for computing the volume of triangular prism, is identified as,

Volume of prism = Base area x Length of prism

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

Wherever, b = base of the triangle

h = height of the prism.

First we can find the bottom area of the triangular prism is to be computed then we have found the volume of the prism.

Examples for Triangular Prism Image

Example 1 for triangular prism image

Compute the volume of the triangular prism, whose base is 10 cm, height is 12 cm and length is 16 cm.

Solution

The method used for computing the volume of prism, is known as,

Volume of triangular prism = Base area x Length of prism

base = 10 cm, height = 12 cm and length = 16 cm

Base area = `(bh)/2`

= `(10xx12)/2`

= `(120)/2`

= 60 cm2

Volume     = 60 x 16

= 960 cm3.

Therefore the volume is 960 cm3

Example 2 for triangular prism image

Compute the volume of the triangular prism, whose base is 15 cm, height is 16 cm and length is 20 cm.

Solution

The method used for computing the volume of prism, is known as,

Volume of triangular prism = Base area x Length of prism

base = 15 cm, height = 16 cm and length = 20 cm

Base area = `(bh)/2`

= `(15xx16)/2`

= `(240)/2`

= 120 cm2

Volume     = 120 x 20

= 2400 cm3.

Therefore the volume is 2400 cm3