surface area formula for triangular prism

#Surface area formula for triangular prism how to

In packaging design, calculating the surface area of a triangular prism helps optimize material usage, reduce waste, and minimize costs. For instance, in construction and architecture, the surface area plays a role in determining the stability and strength of structures, as well as insulation and energy efficiency. Triangular prisms, like other three-dimensional shapes, have numerous real-life applications that make understanding their surface area essential. The concept of surface area has broad applications in various fields, including engineering, architecture, and design, where it is crucial to estimate material requirements, costs, and structural integrity. A triangular prism consists of two congruent triangles at the ends, known as bases, connected by three parallelogram-shaped lateral faces. What Is an Equilateral Triangular Prism?Īn equilateral triangular prism is a prism that has two parallel and congruent equilateral triangular faces and three rectangular faces perpendicular to the triangular faces.The surface area of a triangular prism is a key concept in geometry that pertains to the total area covering the external faces of the three-dimensional shape. There are nine edges in an equilateral triangular prism. How Many Edges Are in an Equilateral Triangular Prism? The lateral surface of an equilateral triangular prism is calculated by adding the areas of the three rectangular faces. What Is the Lateral Surface of an Equilateral Triangular Prism? The volume of a triangular prism can be found by multiplying the base times the height i.e., 1/2 × height of a base triangle × length of a prism. The formula for the surface area of an equilateral triangular prism is calculated by adding up the area of all rectangular and triangular faces of a prism, which is = (√3a 2/2) + 3(a × h) What Is the Formula for the Volume and Surface Area of a Triangular Prism? How Do You Find the Area of the Base of an Equilateral Triangular Prism? The surface area of an equilateral triangular prism is defined as the area or region covered by all the faces of an equilateral triangular prism.

Thus, total surface area of an equilateral triangular prism is (√3a 2/2) + 3(a × h) Lateral surface area of an equilateral triangular prism = 3(a × h), where, 'h' is height of a prism and 'a' is side length of the triangular baseįAQs on the Surface Area of an Equilateral Triangular Prism What Is Meant By the Surface Area of an Equilateral Triangular Prism?.

Since all the sides of an equilateral triangle are the same the area of the three rectangular side faces is 3(height of the prism × any side length).

Calculate the area of the rectangular faces: The area of the three rectangular side faces is the height of the prism × side1, the height of the prism × side2, and the height of the prism × side 3.

Calculate the area of the top and base equilateral triangles: The area of the top and base equilateral triangles is 2 × (√3a 2/4).

The following steps are used to calculate the surface area of an equilateral triangular prism : After expanding the 3-d figure into 2-d we will get two equilateral triangles and three rectangles.

The surface area of an equilateral triangular prism can be calculated by representing the 3-d figure into a 2-d net, to make the shapes easier to see.

#Surface area formula for triangular prism how to

How to Calculate the Surface Area of an Equilateral Triangular Prism? Lateral surface area of an equilateral triangular prism = 3(a × h) The lateral surface area of an equilateral triangular prism can be calculated by adding the areas of the three rectangular faces. The lateral surface area of any object is calculated by removing the base area or the lateral surface area is the area of the non-base faces only. Lateral Surface Area of an Equilateral Triangular Prism 'h' = Height of the equilateral triangular prism.'a' = Side length of the equilateral triangle.Total surface area of an equilateral prism = (√3a 2/2) + 3(a × h) When 'a' is the side length of the equilateral triangle and 'h' is the height of the equilateral triangular prism, the surface area of the three rectangular faces is 3(a × h) whereas the total area of the two equilateral triangular faces is 2 × (√3a 2/4). The formulas for LSA and TSA are given as: Total Surface Area of an Equilateral Triangular Prism The formula for the surface area of an equilateral triangular prism is calculated by adding up the area of all rectangular and triangular faces of a prism. Surface Area of an Equilateral Triangular Prism Formula