The volume of a triangular prism is the three-dimensional space enclosed by it. What is the Volume of a Triangular Prism? Some real-life examples of a triangular prism are camping tents, chocolate candy bars, rooftops, etc. The 2 bases are in the shape of a triangle and the other 3 faces are shaped like a rectangle. Listed below are a few interesting topics that are related to the triangular prism in geometry.įAQs on Triangular Prism What is a Triangular Prism?Ī triangular prism is a three-dimensional polyhedron, made up of two triangular faces and three rectangular faces. Hence, the Volume of a Triangular Prism = area of base triangle × length or it can also be written as Volume of Triangular Prism = ½ × b × h × l, where b is the base length of the triangle, h is the height of the triangle, and l is the length of the prism. As we already know that the triangular prism base is in the shape of a triangle, the area of the base will be the same as that of a triangle. The volume of a triangular prism is the product of its triangular base area and the length of the prism. (bh) is the combined area of the two triangular faces, because = bh.įor more information on the surface area formula and calculations, check the article on the surface area of a triangular prism.a, b, and c are the three edges (sides) of the base triangle.b is the bottom edge of the base triangle,.Surface area = (Perimeter of the base × Length) + (2 × Base Area) = ( a + b + c)L + bh Hence, the formula to calculate the surface area is: It is the sum of the areas of all the faces of the prism. The surface area of a triangular prism is the area that is occupied by its surface. A brief explanation of both is given below along with the formula. There are two important formulae of a triangular prism which are surface area and volume. A right triangular prism has 6 vertices, 9 edges, and 5 faces. In other words, the angle formed at the intersection of triangle and rectangle faces should be 90 degrees, therefore, the triangular faces are perpendicular to the lateral rectangular faces. Any cross-section of a triangular prism is in the shape of a triangle.Ī right triangular prism is a prism in which the triangular faces are perpendicular to the three rectangular faces.The two triangular bases are congruent to each other.It is a polyhedron with 3 rectangular faces and 2 triangular faces.
A triangular prism has 5 faces, 9 edges, and 6 vertices.Listed below are a few properties of a triangular prism: The properties of a triangular prism help us to identify it easily. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The bases are also called the top and the bottom (faces) of the prism. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.
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