![]() ![]() 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. 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. This online demonstration of an adjustable triangular prism is a good example to see the relationship between the object's height, lengths, and surface area.Surface Area of an Equilateral Triangular Prism Formula The formula for surface area of a triangular prism is actually a combination of the formulas for its triangular bases and rectangular sides. So calculate the triangle part of the surface area now: ![]() There are two triangles for its base (Front + Back). We'll first divide up the steps to illustrate the concept of finding surface area, and then we'll give you the surface area of a triangular prism formula.įind the surface area of the following triangular prism. ![]() Let's try to find the surface area of a triangular prism and take a look the prism below. You can easily see how the surface area requires all the sides' area to be found and how it represents the total area surrounding the 3D figure. A good way to picture how this works is to use a net of a 3D figure. In order to find the surface area, the area of each of these sides and faces will have to be calculate and then added together. So what is surface area?ģD objects have surface areas, which is the sum of the total area of the object's sides and faces. How to find the surface area of a triangular prismĪrea helps us find the amount of space contained on a 2D figure. Today we're going to focus on triangular prisms, that is, a prism with a polygonal base that has 3 sides. For example, we can have pentagonal prisms and square prisms. The naming convention for prisms is to name the prism after the shape of its base. If it's connected by parallelograms, it's called an oblique prism. If it's connected with rectangular surfaces (its sides are made of rectangles), it's called a right prism. They have polygonal bases on either sides which are connected to each other by rectangular or parallelogram surfaces. Prisms are 3D shapes made of surfaces that are polygonal. To understand what a triangular prism is, let's start with the definition of prisms. ![]()
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