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The base and top faces are congruent right triangles, meaning they have the same size and shape. When it comes to a right triangular prism, there are a few unique properties.
![formula for right triangular prism surface area formula for right triangular prism surface area](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/area-of-a-right-triangular-prism-1621771213.png)
It is measured in square units and is the sum of all the areas of all shapes that cover the surface of the object.
![formula for right triangular prism surface area formula for right triangular prism surface area](https://i.ytimg.com/vi/pqkRmSdrqxA/maxresdefault.jpg)
![formula for right triangular prism surface area formula for right triangular prism surface area](https://i.ytimg.com/vi/TycP9snLk1E/maxresdefault.jpg)
In mathematical terms, the surface area is the total area that the surface of an object occupies. If you’ve ever painted a room, wrapped a present, or put up a tent, you’ve already dealt with the concept of surface area, even if you didn’t realize it at the time. The shape is called a prism because the cross-section (the shape you get if you slice it parallel to the base) is always the same right triangle. Strictly speaking, a right triangular prism is a five-faced polyhedron whose base and top are identical right triangles, and whose other three faces are rectangles. The ‘right’ in the name indicates that the triangle at the ends is a right triangle, meaning it has one angle that measures exactly 90 degrees. You’ve just visualized a right triangular prism. Imagine a three-dimensional object where the two ends look like triangles and the sides are rectangles. Welcome to another exciting topic in our ever-growing series at Brighterly! Today, we’ll dive deep into the fascinating world of geometric shapes, specifically focusing on the right triangular prism.Ī right triangular prism is a fascinating geometric shape. We’ll even embark on the adventure of deriving the formula for surface area and practice some problems to put our knowledge to the test. We’ll then delve into the intricacies of properties and surface area calculations of right triangular prisms. Let’s kickstart our expedition by understanding what a right triangular prism is, followed by grasping the concept of surface area. So, put on your explorer hats, because we’re going to turn the seemingly daunting task of learning the surface area of right triangular prisms into an exciting and fun-filled experience. Understanding complex mathematical concepts can sometimes feel like climbing a steep hill, but fear not! Here at Brighterly, we believe that learning can be an exhilarating adventure. We continue our exploration today with a plunge into the world of geometric shapes, landing right into the realm of right triangular prisms. S 1 and S 2 are the three sides of the base triangleĪlso Read: Angle Sum Property of QuadrilateralĪ right triangular prism with equilateral bases and square sides is called a uniform triangular prism.Hello there, bright minds! Welcome back to Brighterly, your companion in the thrilling journey through the wonderful world of mathematics. Thus, adding all the areas, the total surface area of a right triangular prism is given by, Lateral surface area is the product of the length of the prism and the perimeter of the base triangle = (S 1 + S 2 + h) × l. Lateral Surface Area = (S 1 + S 2 + S 3 ) × LĪ right triangular prism has two parallel and congruent triangular faces and three rectangular faces that are perpendicular to the triangular faces.Īrea of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh). Thus, the lateral surface area of a triangular prism is: It is the sum of all the areas of the vertical faces. Lateral Surface area is the surface area of the prism without the triangular base areas. S 1, S 2, and S 3 are the three sides of the base triangle Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)ī is the resting side of the base triangle, Thus, the formula for the surface area of a triangular prism is: The area of the two triangular bases is equal to The sum of areas of the parallelograms joining the triangular base is equal to the product of the perimeter of the base and length of the prism. The surface area of a triangular prism is obtained by adding all the surface areas of faces that constitute the prism. Derivation of Surface Area of Triangular Prism