The total surface area of a square prism = 2 × Base Area + Lateral Surface Area Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.įor a square prism, if the length of the side of the square and height of the prism is given, then its total surface area can be given by:. Since all 4 rectangles are congruent, their areas will be equal. The lateral surface area of a square prism = Area of the four rectangular sides. Base Area of a Square Prismįor a square prism, if the length of the side of the square base is given, then its base area can be given by,īase area of a square prism = Area of base square = s 2, where, 's' is the length of the side of the base square.įor a square prism, if the length of the side of the square and height of the prism is given, then its lateral surface area can be given by, So, the surface area of a square prism is the sum of the areas of four of its rectangular side faces and the base area which are squares. 4 side faces, each of which is a rectangle.If the tetrahedron and the triangular prism have the same triangle as the base and the same height, the volume of the prism is three times the volume of the tetrahedron.The surface area of a square prism is the sum of the areas of its faces and its base.The cross sectional area along the axis through the bases does not change in the triangular prism, but in the tetrahedron the cross sectional area changes (decreases with the distance from the base) along the axis perpendicular to the base.Therefore, triangular prism has 5 sides, 6 vertices and 9 edges while tetrahedron has 4 sides, 4 vertices and 6 edges.Both triangular prism and triangular pyramid (Tetrahedron) are polyhedrons, but the triangular prism consists of triangles as the base of the prism with rectangular sides, whereas the tetrahedron consists of triangles at every side. What is the difference between Triangular Prism and Triangular Pyramid (Tetrahedron)? It has respective centers such as circumcenter, incenter, excenters, Spieker center, and points such as a centroid. Since its figure directly forms from the triangles, the tetrahedrons display many analogous properties of triangles, such as circumsphere, insphere, exspheres, and medial tetrahedron. Here the height refers to the normal distance between the base and the apex. The volume of the tetrahedron can be obtained using the following formula. However, the often encountered case is the regular tetrahedron, which has equilateral triangles as its sides. In this definition, the faces of the tetrahedron can be different triangles. It can also be considered as a solid object formed by joining the lines from the vertices of a triangle at a point above the triangles. It is also known as the tetrahedron, which also is a type of polyhedrons. It is the product of the area of the base triangle and the length between the two bases.Ī triangular pyramid is a solid object consisting of triangles in all four sides. The prism is said to be a right prism if the planes of the bases are perpendicular to the other surfaces. The sides other than the bases are always rectangles. It also can be considered as a pentahedron with two of the sides parallel to each other, while the surface normal to the three other surfaces lies in the same plane (a plane that is different from the base planes). the cross sections of the solid parallel to the bases are triangles at any point within the solid. The base is a polygon and the sides of the polygon are connected to the apex through triangles.Ī triangular prism is a prism with triangles as its base i.e. A prism is a polyhedron with an n-sided polygonal base, an identical base on another plane and no other parallelograms joining corresponding sides of the two bases.Ī pyramid is a polyhedron formed by connecting a polygonal base and a point, which is known as the apex. In geometry, a polyhedron is a geometric solid in three dimensions with flat faces and straight edges. Triangular Prism vs Triangular Pyramid (Tetrahedron)
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