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 all the areas of the vertical faces. Lateral Surface area is the surface area of the prism without the triangular base areas. Determine the type of triangular face Triangular face is the base of our prism. S 1, S 2, and S 3 are the three sides of the base triangle This section is a step-by-step instruction on how to find the surface area of a triangular prism using our handy tool take a look at the mathematical problem you want to solve and gather the following information: 1. Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)ī is the resting side of the base triangle, Thus, the formula for the surface area of a triangular prism is: 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. The surface area of a triangular prism is obtained by adding all the surface areas of faces that constitute the prism. It will be divided into two rectangles and three triangles when divided properly. If you will cut the Triangular Prism into parts and put it flat on the table then you will better understand the structure of the shape. Derivation of Surface Area of Triangular Prism Surface Area of a Triangular Prism ab + 3bh.
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