How to Find Surface Area of a Triangular Prism: Explained With Example

BY Team Aakash Byju's

If a prism has three rectangular faces and two parallel triangular bases, it is called a 'Triangular Prism'

The edges and vertices of the bases are connected with three rectangular sides.

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A triangle is formed by all cross-sections parallel to the base faces.

The two bases of this prism are equilateral triangles, and their edges are parallel.

Let's look at some of the triangular prism's features:

It contains nine edges, five faces, and six vertices (which are joined by the rectangular faces).

 It features three rectangular sides and two triangular bases. The surface area of a triangular prism is equal to the sum of its lateral surface area and twice its base area.

The area of the triangle bases is A, the perimeter of the bases is P, and the prism's height is H.

The area of the base triangle is ½×(base×height).

The surface area of a triangular prism=2(1/2×base ×height of base)+(perimeter of base×height of the prism).  =(base × height of the base)+(perimeter × height of prism)

Example:

Calculate the surface area of a triangular prism with a base perimeter of 15cm and length of prism 10cm, and area of prism 20cms.

Hope you got the concept. so practice well.