How To Find The Volume Of A Triangular Prism

A prism is a solid geometric figure. The geometric figure has two identical ends and all flat sides. A lens is named as per the shape of its base. So, we can say that the Triangular Prism has a triangular base.

To calculate the volume of a triangular prism, the formula is,

V = ½(lwh)

Where V = Volume of the Prism

l = length of the prism

w = width of the crystal

h = height of the prism

By simplifying the above-said formula, we can also say that.

Volume Of the Prism = Area Of the Base Face X Height of the prism

Let’s have a detailed look at the process to find out the volume.

In the first step, we need to calculate the area of the base face of the triangular prism. As we know that the base of a triangular prism is a triangle, so to find the area of the support we will apply this formula, i.e.

Area of the Triangle = ½ X length of the triangle X width of the triangle

For example, say we have a Triangular prism of length 8 cm, width 6 cm, and height 9 cm.

Now first, the area of the base = ½ X length of the triangle X width of the triangle

= ½ X 8 X6

=½ X48

= 24 cm2

After finding the area of the base, we have to multiply the result by the height of the prism to get the volume of the lens.


    The Volume of the prism = Area of base X Height of the Prism

                       = 24 X 9

                       = 216 cm3

Here, we got the final result. Always remember that cubical units express the volume of the prism.

Prism And It’s Types:

Prisms are solid glass materials. They can bend and manipulate light. Usually, Prisms are named as per their base structure. Like a lens with a rectangular shaped base is called a rectangular prism and a prism with a triangle base called triangular prism. Crystals are the combination of straight faces, same ends (plates) and the same cross-section.  If we want to define Prism, then it will go like, It is a three-dimensional shape with two parallel end faces. The end faces of a prism are same in case of shape & size. Each side of an end face is a parallelogram. If the cross-sections of a lens are joined with parallel to the base, then it’ll look exactly like the base.

Types Of Prism:

We’ve discussed earlier that Prisms are named after their base structure. But before that Prisms are mainly divided into two categories, i.e., Regular Prism & Irregular Prism.

Those prisms which have a regular polygonal base structure are known as the Regular Prisms. Square Prism, Cube, Triangular Prism, Pentagonal Prism are the examples of the regular prism. Cube is a prism with a square base. The square lens also has a square base, but its height makes it different from the hub. In the same way, the triangular prism has a triangle base while the pentagonal prism has a Pentagon base structure.

On the other hand, those prisms which have a base structure of irregular polygons are known as the irregular prisms. In the case of Irregular crystals, the end faces don’t look alike. These prisms are also named as per their base structures. Irregular Square Prism, Irregular Triangular Prism, Irregular Pentagonal Prism are the examples of the Irregular crystal.