It is the product of its triangular base area and its length. 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.
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