This is the same thing as 3 to the third power. Or you might recognize this from exponents. And so we get 3 times 3 times 3, which is 27. So the volume is going to be the area of this surface, 3 times 3, times the depth. 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. The process of calculating the surface area of the prism involves the following steps: Step 1: Begin by recording the provided dimensions of the prism. The formula for the surface area of a triangular prism, where SA total surface area, b base of triangle, h height of triangle, l length of prism, and P perimeter of. The formula for finding a triangular prisms volume is the area of the triangle (Width x Height x 1/2). 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. The surface area of a triangular prism formula uses the values of base, height, sides and prism height to. Lateral Surface area is the surface area of the prism without the triangular base areas. The surface area is normally measured in square units. 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 This calculator finds the surface area and height of a triangular prism with known side lengths and volume. 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

Triangular prism surface area formula