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.
#RIGHT TRIANGULAR PRISM NET 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. Step 4: Write the final value in appropriate square units.Formula for Surface Area of Triangular Prism.Step 3: Put the values of the given dimensions in the formula, LSA = (a + b + c) h or Ph.Step 2: Identify the height of the prism, h.Step 1: Identify the dimensions of the triangular base (the bases of the three rectangular faces) and find the perimeter, P = a + b + c.
To calculate the lateral area of a triangular prism, follow the steps given below: How To Calculate the Lateral Area of a Triangular Prism? In order to find the lateral area, put the respective values in the formula and add the unit with the final value so obtained.
Thus, we can conclude that the lateral surface area of the triangular prism = Perimeter of the base × Height of the Prism. Also, (a + b + c) is the perimeter of the base (triangle). The lateral surface area of the right triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h, where a, b and c are the bases of the rectangular faces and h is the common height or the total height of the prism. How to Find the Lateral Area of a Right Triangular Prism?
The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. We know that the lateral area of any prism is the sum of the areas of its side faces. What Is the Formula To Find the Lateral Area of a Triangular Prism? The lateral area of a prism of height h where the dimensions of the triangular bases are a, b, and c is (a + b + c) h. The lateral surface area of a triangular prism is the sum of the areas of all its side faces which are 3 rectangles. What Is the Meaning of the Lateral Surface Area of a Triangular Prism? A triangular prism has 3 lateral faces that are rectangles. Which Polygon Is a Lateral Face of the Triangular Prism?Įach lateral face (side face) of a triangular prism is a rectangle. The "bases" of a triangular prism are the triangles (which are congruent and parallel) that lie on the top and bottom of the prism whereas the "lateral faces" are the side faces (all faces other than the "bases") that are rectangles. How Is a Lateral Face of a Triangular Prism Different From a Base? The base of each of these rectangles coincides with one side of the triangular base. All these rectangles have the same height. The lateral faces of a triangular prism are rectangles. FAQs on Lateral Area of Triangular Prism What Are the Lateral Faces of a Triangular Prism?
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