Let us solve some examples to understand the concept better. Total Surface Area ( TSA) = ( b × h) + ( s 1 + s 2 + s 3) × l, here, s 1, s 2, and s 3are the base edges, h = height, l = length Apply the Pythagorean theorem and figure out the height of the triangular base find the base area using the height add up twice this area to the sum of the. The formula to calculate the TSA of a triangular prism is given below: The total surface area (TSA) of a triangular prism is the sum of the lateral surface area and twice the base area. Lateral Surface Area ( LSA ) = ( s 1 + s 2 + s 3) × l, here, s 1, s 2, and s 3 are the base edges, l = length Total Surface Area The formula to calculate the total and lateral surface area of a triangular prism is given below: The lateral surface area (LSA) of a triangular prism is the sum of the surface area of all its faces except the bases.

It is expressed in square units such as m 2, cm 2, mm 2, and in 2. The surface area of a triangular prism is the entire space occupied by its outermost layer (or faces). Like all other polyhedrons, we can calculate the surface area and volume of a triangular prism. So, every lateral face is parallelogram-shaped. Oblique Triangular Prism – Its lateral faces are not perpendicular to its bases.Right Triangular Prism – It has all the lateral faces perpendicular to the bases.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. 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. The simple formula is Lateral Surface Area + 2( area of the base). Surface Area of a Triangular Prism - GCSE Maths - Steps, Examples & Worksheet. Today we're going to focus on triangular prisms, that is, a prism with a polygonal base that has 3 sides. Some formulas have additional labeling for particular prisms. 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.

Find triangular prism surface area