It is important in various fields like architecture, engineering, and manufacturing for determining material requirements and costs. Surface area is the total area that covers the surface of a three-dimensional object. The surface area of the triangular prism is 408.35 square units. Total Surface Area = 28.35 + 380 = 408.35 square units. Formula for surface area and volume of a triangular prism How to get surface area of a triangular prism, formula for surface area of a triangle Surface. For its calculation, two dimensions are involved, thus we measure it in square units. i.e., it is the total surface area minus the areas of the two bases.It is also known as the lateral surface area (LSA). The lateral area for a triangular prism is the sum of areas of its side faces (which are 3 rectangles). Total Surface Area = Base Area + Lateral Surface Area. The word 'lateral' means 'belonging to the side'. where, b is the triangular base, h is the altitude of triangular base, l is the prism’s length. area of each of its four triangular faces. The total surface area of a triangular prism is equal to the sum of twice the base area and thrice the product of a triangular base with the prism’s length. The surface area of a triangular prism formula uses the values of base, height, sides and prism height to determine the SA of the triangle prism. ![]() The surface area is normally measured in square units. The total surface area of a prism is the sum of the base area and the lateral surface area. surface area equations for a sphere and the lateral surface area of a cylinder. The measure of the total surface area occupied by the triangular based prism is defined as the surface area of a triangular prism. The total surface area of a prism is the sum of twice its base area and the product of the perimeter of the base and the height of the prism. ***Step 3: Calculate the Total Surface Area of the Triangular Prism*** Lateral Surface Area = 38 * 10 = 380 square units. Perimeter of the base = 13 + 13 + 12 = 38. ![]() ![]() The lateral surface area of a triangular prism is given by the formula: Lateral Surface Area = perimeter of the base * height of the prism. ***Step 2: Calculate the Lateral Surface Area of the Triangular Prism*** To find the base area of the triangular prism, use the formula for the area of a triangle: Area = 0.5 * base * height.īase Area = 0.5 * 10 * 5.67 = 28.35 square units. ***Step 1: Calculate the Base Area of the Triangular Prism***
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