surface area formula of triangular prism

In triangular, rectangular, and trapezoidal prisms, ‘l’ (or length) stands for the distance between the bases, and ‘h’ stands for the height of the polygonal base.‘l’ is the length for a square prism, and ‘a’ represents the four congruent base edges. Thus, adding all the areas, the total surface area of a right triangular prism is given by, Some formulas have additional labeling for particular prisms. 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. Therefore, the surface area of the prism is 208 units 2. Once you have the areas of all sides and faces, you simply add them together to get the surface area. Substituting the values of the base area, base perimeter, and height in the surface area formula we get, Surface area of prism (2 × 48) + (28 × 4) 208 units 2. To find the area of the triangular faces, use the formula A 1/2bh, where A area, b base, and h height. 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). To find the area of the rectangular sides, use the formula A lw, where A area, l length, and h height.

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. 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, Thus, the formula for the surface area of a triangular prism is: The area of the two triangular bases is equal to The height of the triangular prism is H 15 cm. The base and height of the triangular faces are b 6 cm and h 4 cm. Solution: From the image, we can observe that the side lengths of the triangle are a 5 cm, b 6 cm and c 5 cm. 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. Example 1: Find the surface area of the triangular prism with the measurements seen in the image.

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

Surface area formula of triangular prism