![]() 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. Students must know that the height of a prism will always be perpendicular to its base. The general rule for the volume of prisms is Volume Area of the base × height. Recognising the base of a prism is critical when calculating its volume. Thus, adding all the areas, the total surface area of a right triangular prism is given by, Students should understand that the volume of an object is the measure of the space inside a 3D object. 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 Volume is the three dimensional space occupied by an object, or the contents of an object. ![]() Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)ī is the resting side of the base triangle, Surface area is the total area of the exposed or outer surfaces of a prism. Thus, the formula for the surface area of a triangular prism is: Lateral Area + + ++3 6 4 6 5 6 18 24 30 72() ()( ) cm2 The total surface area of the triangular prism is the lateral area plus the area of the two bases. the sum of the areas of the three rectangles. The area of the two triangular bases is equal to The lateral area of the triangular prism is the sum of the areas of the lateral faces i.e. 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. Derivation of Surface Area of Triangular Prism
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