S 1 and S 2 are the three sides of the base triangleĪlso Read: Angle Sum Property of QuadrilateralĪ right triangular prism with equilateral bases and square sides is called a uniform triangular prism. Thus, adding all the areas, the total surface area of a right triangular prism is given by, Lateral surface area is the product of the length of the prism and the perimeter of the base triangle = (S 1 + S 2 + h) × l. Lateral Surface Area = (S 1 + S 2 + S 3 ) × LĪ right triangular prism has two parallel and congruent triangular faces and three rectangular faces that are perpendicular to the triangular faces.Īrea of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh). Thus, the lateral surface area of a triangular prism is: It is the sum of the areas of all the faces of the prism. The surface area of a triangular prism is the area that is occupied by its surface. A brief explanation of both is given below along with the formula. It is the sum of all the areas of the vertical faces. There are two important formulae of a triangular prism which are surface area and volume. c: the length of side c of the triangular base. It is determined with the formula: Surface area bh + L (s1 + s2 + s3) where, b is the bottom edge of the base triangle, h is the height of the base triangle, s 1, s 2, and s 3 are the sides of the triangular bases. b: the length of side b of the triangular base. Surface area of a triangular prism is the sum of the areas of all the faces of the prism. a: the length of side a of the triangular base. Lateral Surface area is the surface area of the prism without the triangular base areas. The formula for determining the surface area of a triangular prism is defined as: w h e r e. S 1, S 2, and S 3 are the three sides of the base triangle Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)ī is the resting side of the base triangle, See examples and FAQs on surface area of a triangular prism. Find out the formula for the lateral surface area of a triangular prism and how to apply it to a right triangular prism. Thus, the formula for the surface area of a triangular prism is: Learn how to calculate the total surface area of a triangular prism using a formula that adds up the areas of all the rectangular and triangular faces. The area of the two triangular bases is equal to The sum of areas of the parallelograms joining the triangular base is equal to the product of the perimeter of the base and length of the prism. To find the surface area of a prism, use the formula S A 2 B + p h, where S A stands for surface area, B stands for the area of the base of the prism, p stands for the perimeter of the base, and h stands for height of the prism. The surface area of a triangular prism is obtained by adding all the surface areas of faces that constitute the prism. Derivation of Surface Area of Triangular Prism
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