If the base triangle is an equilateral triangle (in this case, the prism is called equilateral triangular prism) with each side ‘a’, then its area = √3a 2 /4.The following list shows the formulas to find the area of the base triangle. Here, we can find the area of the base triangle based on its type and the available information. Volume of a triangular prism = area of base triangle × length of the prism By applying the above formula to a triangular prism, we get, We know that the base of a triangular prism is a triangle. We will use this formula to calculate the volume of a triangular prism as well. The volume of a prism = base area × length of the prism The volume of any prism is obtained by multiplying its base area by its length. We will see the formulas to calculate the volumes of different types of triangular prisms. It is measured in cubic units such as cm3, m3, in3, etc. The volume of a triangular prism is the space inside it or the space occupied by it. Observe the triangular prism shown above where ‘b’ is the base of each side of two congruent triangles, ‘h’ is the height of the base triangle, and ‘l’ is the length of the prism. It is represented by “l” in the figure given below. The length of the triangular prism is the perpendicular distance between the centers of the two bases. 3 side faces (which are congruent rectangles).2 bases (which are congruent triangles).By definition, the two triangular bases are parallel and congruent to each other. Or, it can be considered as a pentahedron (as it has 5 faces altogether) wherein the edges and vertices of the bases are joined with each other by three rectangular sides. For this, let us first understand what a triangular prism looks like.Ī triangular prism is a polyhedron made up of two triangular bases and three rectangular sides. The volume of a triangular prism can be calculated by taking the product of the area of the triangular base and the height of the prism which is also known as the length of the prism. Step 4: Write the final value in appropriate square units.What is the Volume of a 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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