Thus, the surface area of the right triangular prism, Surface Area = (Perimeter of the base × Length of the prism ) + (2 × Base Area) Solution: Given, base area = 60 square units, base perimeter = 40 units and length of prism = 7 units This means, total surface area of a right triangular prism = (S 1 + S 2 + h) × l + bhĮxample: Find the total surface area of a right triangular prism which has a base area of 60 square units, the base perimeter of 40 units, and the length of the prism is 7 units.
Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).The following steps are used to calculate the surface area of a right triangular prism: Observe the following figure which shows a right triangular prism. After expanding this 3-d shape into the 2-d shape we get two right triangles and three rectangles. The surface area of a right triangular prism can be calculated by representing the 3-d figure into a 2-d net, which makes it easier to understand.
#FIND SURFACE AREA OF PRISM HOW TO#
How to Find the Surface Area of a Right Triangular Prism?Ī right triangular prism has two parallel and congruent triangular faces and three rectangular faces that are perpendicular to the triangular faces. Lateral Surface Area = (S 1 + S 2 + S 3) × l = (Perimeter × Length) or LSA = p × l Thus, the lateral surface area of triangular prism is: Observe the following figure to understand the lateral surface and the base of a triangular prism. The perimeter of the base is the total length of the edges of the base triangle, while the length of the prism is its height. The lateral surface area of a triangular prism can be calculated by multiplying the perimeter of the base by the length of the prism. When a triangular prism has its bases facing up and down, the lateral area is the area of the vertical faces. In other words, the lateral surface area of a triangular prism is calculated without considering the base area. The lateral surface area of any solid is the area without the bases. (bh) is the combined area of the two triangular faces = bh.S 1, S 2, and S 3 are the three edges (sides) of the base triangle.b is the bottom edge of the base triangle,.Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S 1 +S 2 + S 3)L + bh
The formula for the surface area of triangular prism is: Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula. The triangular prism formula for surface area is formed by adding up the area of all the rectangular and triangular faces of a prism. Formula for Surface Area of Triangular Prism
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