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Affichage des articles du janvier, 2020

Surface area of a triangular prism

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The surface area of a right triangular prism is the area of the three rectangular sides plus the area of the two triangles forming the bases. s1, s2, s3 = lengths of the sides of a triangle b = base of the triangle (equal to one of these three lengths, as desired) h = height of the triangle associated with this base H = Height of the prism s1 + s2 + s3 = perimeter of the triangle How to calculate the volume of a triangular prism The Definition of Triangular Prism How many faces, edges, and vertices does a triangular prism have?

How to calculate the volume of a triangular prism

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You may think that the volume of a triangular prism is calculated in the same way as that of a pyramid, but this is not at all the case. Indeed, a triangular prism is a polyhedron made up of two triangular bases and three rectangular lateral faces. To calculate its volume, you just need to determine the area of one of the triangular bases and multiply it by the height of the prism. 1- Calculate the area of a triangular base Find the necessary dimensions. Find the width and height of the triangle. Look at it and note the length of its base as well as its height.  Be sure to note the height of the triangle, not the prism. You can measure any of the triangular bases, because they have exactly the same dimensions. Use the appropriate formula. Note the formula for calculating the area of a triangle. Once you have measured the dimensions of the triangular base, apply the formula with these measurements. The formula for calculating the area of a triangle is as follows : A be...

Definition of Triangular Prism

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What is a triangular prism in geometry? In geometry, a triangular prism or "three-sided prism" is a polyhedron made from a triangular base, a translated copy and 3 faces joining the corresponding sides. If the sides are squares, it is called a uniform polyhedron . Equivalently, it is a pentahedron whose two faces are parallel, while the normals to the surfaces of the other three are in the same plane (which is not necessarily parallel to the planes of the bases). These three faces are parallelograms. All cross sections parallel to the base faces are the same triangle. A right triangular prism is semi-regular if the faces of the bases are equilateral triangles, and the other three faces are squares. A general right triangular prism can have rectangular sides. The dual of a triangular prism is a 3-sided bipyramid. The symmetry group of a 3-sided straight prism with a regular base is the prismatic group D3h (en), isomorphic to the dihedral group D6 of order 1...