The volume of a triangular prism is the total amount of space enclosed by its three faces. The larger the triangle angle, the smaller the volume will be.Ī triangular prism is a three-dimensional solid object formed from three identical triangular faces that are all parallel to each other and the hypotenuse. The volume of a triangular prism can vary depending on the dimensions of the base, height, and triangle angle. This means that the volume of a triangular prism is always an integer. The volume of a triangular prism is equal to the sum of the volumes of its base and height, divided by 3. Triangular prisms can be made out of many different materials, but they are usually made out of glass or plastic. It is named after the triangle that forms its base, and each side of the prism is a different length. ![]() Triangular prism is a three-dimensional solid that has the shape of a triangular pyramid. The surface area of a triangular prism is the product of its base area and height. The volume of a triangular prism is the sum of the volumes of its three square faces. What is the Volume of a Triangular Prism? In this equation, VT represents the volume of the triangular prism, AB represents the length of one side of the triangle, CD represents the length of the other side, and pi represents Pi (3.14). The volume of a triangular prism can be calculated using the following formula: VT = 3(AB × CD). ![]() The surface of a triangular prism is the combination of the two other surfaces, and it can be used to create many different shapes. The other two vertices are the midpoints of the top and bottom faces.Ī triangular prism is a three-dimensional geometric object formed by connecting the three faces of a right triangle. The three vertices of a triangular prism are the only points in the plane where all three edges meet. In mathematics, a triangular prism is a polyhedron with triangular faces that are regular polygons. Therefore the volume of rectangular prism is 819 cubic centimeters.Volume of a Triangular Prism Definitions and Examples We have, Volume of Rectangular Prism = l x b x h Given that: l = length of a rectangular prism = 9cm So the volume of the triangular prism is 972 cubic centimeter.Įxample 2: Find the volume of rectangular prism given below. We have, Volume of triangular prism = (\) a x b x h Given that a = Apothem length of a triangular prism = 9cmī = Base length of a triangular prism = 12 cm Volume of Hexagonal Prism = 3 x a x b x hĪ – Apothem length of the hexagonal prism.Įxample 1 : Find the volume of the triangular prism given below. Therefore Volume General Formula it is Represented as, To calculate the volume of a prism, you just have to calculate the area of its base and multiply it by its height. The volume of a 3D prism is defined as the total space occupied by that object. ![]() So the different types of prisms are given their names on the basis of their cross-sectional figure formed.Īs the prism is a 3D solid object it has both the surface area and volume. ![]() The prism is named after the shape of its base, hence a prism with a triangular base is called a "triangular prism”. The side faces are flat and parallelogramĪnd the same cross-section along with its length.Ī prism is a solid three-dimensional geometric figure with two similar ends and all flat sides. Identical base and top which are parallel to each other. In this article, we will be discussing what is prisms, different types of prisms, the volume of prism formula, and how to calculate the volume of a prism.Ī three-dimensional solid shape having its base and top as identical polygons and side faces as parallelograms are called a prism. There are two important members of the polyhedron family: Prisms and pyramids. The point of intersection of three or more edges is called a vertex. The two faces meet in a line segment that is called edge. The word polyhedron is made of ‘poly’ meaning many and ‘hedron’ meaning face.Įvery polygon in a polyhedron is called a face. A polyhedron is a three-dimensional shape that is formed by polygons. We know that geometry deals with the study of 2D shapes and 3D shapes.
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