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. 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 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. What Is an Equilateral Triangular Prism?Īn equilateral triangular prism is a prism that has two parallel and congruent equilateral triangular faces and three rectangular faces perpendicular to the triangular faces.Derivation of Surface Area of Triangular Prism There are nine edges in an equilateral triangular prism. How Many Edges Are in an Equilateral Triangular Prism? The lateral surface of an equilateral triangular prism is calculated by adding the areas of the three rectangular faces. What Is the Lateral Surface of an Equilateral Triangular Prism? The volume of a triangular prism can be found by multiplying the base times the height i.e., 1/2 × height of a base triangle × length of a prism. The formula for the surface area of an equilateral triangular prism is calculated by adding up the area of all rectangular and triangular faces of a prism, which is = (√3a 2/2) + 3(a × h) What Is the Formula for the Volume and Surface Area of a Triangular Prism? How Do You Find the Area of the Base of an Equilateral Triangular Prism? The surface area of an equilateral triangular prism is defined as the area or region covered by all the faces of an equilateral triangular prism. Thus, total surface area of an equilateral triangular prism is (√3a 2/2) + 3(a × h) Lateral surface area of an equilateral triangular prism = 3(a × h), where, 'h' is height of a prism and 'a' is side length of the triangular baseįAQs on the Surface Area of an Equilateral Triangular Prism What Is Meant By the Surface Area of an Equilateral Triangular Prism?.Since all the sides of an equilateral triangle are the same the area of the three rectangular side faces is 3(height of the prism × any side length).Calculate the area of the rectangular faces: The area of the three rectangular side faces is the height of the prism × side1, the height of the prism × side2, and the height of the prism × side 3.Calculate the area of the top and base equilateral triangles: The area of the top and base equilateral triangles is 2 × (√3a 2/4).The following steps are used to calculate the surface area of an equilateral triangular prism : After expanding the 3-d figure into 2-d we will get two equilateral triangles and three rectangles. The surface area of an equilateral triangular prism can be calculated by representing the 3-d figure into a 2-d net, to make the shapes easier to see. How to Calculate the Surface Area of an Equilateral Triangular Prism? Lateral surface area of an equilateral triangular prism = 3(a × h) The lateral surface area of an equilateral triangular prism can be calculated by adding the areas of the three rectangular faces. The lateral surface area of any object is calculated by removing the base area or the lateral surface area is the area of the non-base faces only. Lateral Surface Area of an Equilateral Triangular Prism 'h' = Height of the equilateral triangular prism.'a' = Side length of the equilateral triangle.Total surface area of an equilateral prism = (√3a 2/2) + 3(a × h) When 'a' is the side length of the equilateral triangle and 'h' is the height of the equilateral triangular prism, the surface area of the three rectangular faces is 3(a × h) whereas the total area of the two equilateral triangular faces is 2 × (√3a 2/4). The formulas for LSA and TSA are given as: Total Surface Area of an Equilateral Triangular Prism The formula for the surface area of an equilateral triangular prism is calculated by adding up the area of all rectangular and triangular faces of a prism. Surface Area of an Equilateral Triangular Prism Formula
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