Triangular prism

Volume and surface area of Triangular prism

A prism with the triangle as the base is called triangular prism. In the case of a triangular prism, two congruent and parallel triangles ABC and EFG are called the base of the prism. Area of each triangle is called base area or area of the base.

The lateral faces (AEFB, AEGC and BCGF), are rectangles formed by joining corresponding vertices of the bases. The intersection of lateral faces is lateral edges.

The length or height  ( AE, BF, CG ) is the perpendicular distance between the bases. The lateral surface is the total area of the lateral faces (The length times the perimeter of base) and volume is equal to the product of base area and its length or height.

So,

Area of triangular base = Area of  ΔABC or Area of ΔEFG

Lateral (Curved) Surface Area (L.S.A) = Perimeter of triangular base × length

Total Surface Area (T.S.A) = 2 × Area of triangular base + L.S.A.

Volume of triangular prism = Area of triangular base × length (or height of prism)