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What 3D shape has most vertices and edges?
There is no limit to the number of vertices nor edges.
Which 3d shape has the same number of edges vertices and faces?
Sphere ( 0 faces , 0 edges , 0 vertices )
How is the total number of sides of the faces related to the number of edges?
Faces + Vertices = Edges + 2
What is the formula for the number of edges on a prism?
the formula is (vertices+faces)- 2= edges
What is the formula related vertices and edges?
There is not a specific formula fro vertices and edges. The Euler characteristic links the number of vertices, edges AND faces as follows: E + 2 = V + F for a simply connected polyhedron.
What shape does have 6faces 15 edges and 10 vertices?
A polyhedron with 6 faces, 15 edges, and 10 vertices is known as a triangular prism. In this shape, there are two triangular bases and three rectangular lateral faces, which together account for the total number of edges and vertices. The triangular bases contribute 3 edges each, while the lateral edges connect the corresponding vertices of the triangular bases, resulting in a total of 15 edges.
How many vertices edges and faces has a pentagonal prism?
A pentagonal prism has 10 vertices, 15 edges, and 7 faces. The two pentagonal bases contribute 5 vertices each, while the 5 lateral edges connect the corresponding vertices of the bases. The prism's faces consist of 2 pentagonal bases and 5 rectangular lateral faces.
How much faces vertices and edges on A decagonal prism?
A decagonal prism has 12 faces, 30 edges, and 22 vertices. The two decagonal bases contribute 10 vertices each, while the lateral faces (10 rectangles) connect the corresponding vertices of the bases. Thus, the total number of vertices is 10 (top) + 10 (bottom) = 20, and with the 10 edges of the decagons and 10 vertical edges connecting them, you get 30 edges.
Can a prism have seven more edges than it has vertices?
Oh, isn't that a happy little question! Let's think about it together. A prism has 2 bases and the same number of edges as the number of sides on those bases, plus the number of edges connecting the corresponding vertices on the bases. So, a prism can't have seven more edges than vertices because the number of edges is determined by the number of sides on the bases and the number of vertices.
What is the greatest number of prism can have?
There is none. The number of sides on the bases can always be increased reuslting in an increase in the number of lateral faces. The number of vertices and edges will also increase so there can be no greatest number.
How many edges does a 50-gonal prism have?
A 50-gonal prism consists of two 50-gon bases and 50 rectangular lateral faces. Each base contributes 50 edges, and the lateral edges connect the corresponding vertices of the two bases, adding another 50 edges. Therefore, the total number of edges in a 50-gonal prism is 50 (for the bottom base) + 50 (for the top base) + 50 (lateral edges) = 150 edges.
What has 9 edges 6 vertices 3 lateral faces and 2 bases?
A triangular prism is one possible answer.
How many Faces edges vertices of a octagonal prism?
An octagonal prism has 10 vertices, 24 edges, and 10 faces. The two octagonal bases contribute 2 faces, while the lateral faces consist of 8 rectangular sides, bringing the total number of faces to 10. Each base has 8 edges, and there are 8 additional edges connecting corresponding vertices of the two bases, resulting in a total of 24 edges.
How many faces vertiices and edges does a cylnder have?
A cylinder has three faces: two circular bases and one curved lateral surface. It has two vertices at the ends of the circular bases, and it has no edges on the curved surface. Therefore, in total, a cylinder has 3 faces, 2 vertices, and 0 edges.
Does a nonagonal prism have 18 edges 10 faces and 10 vertices?
Yes, a nonagonal prism has 18 edges, 10 faces, and 10 vertices. It consists of two nonagonal (9-sided) bases and 9 rectangular lateral faces connecting corresponding vertices of the bases. The 18 edges comprise 9 edges from each base and 9 edges connecting the bases. Additionally, it has 10 vertices, with 9 from each base and one shared vertex at the top and bottom, resulting in a total of 10 distinct vertices.
What is the relationship between faces vertices and edges in prisms?
In a prism, the number of faces, vertices, and edges are related by the formula F + V - E = 2, known as Euler's formula. For a prism, which has two parallel and congruent faces connected by rectangular faces, the number of faces (F) is equal to the sum of the number of rectangular faces and the two congruent bases. The number of vertices (V) is equal to the number of corners where edges meet, and the number of edges (E) is equal to the sum of the edges around the bases and the edges connecting the corresponding vertices of the bases.
What is a three dimensional figure that has five faces nine edges and six vertices?
A three-dimensional figure with five faces, nine edges, and six vertices is called a triangular prism. It consists of two triangular bases and three rectangular lateral faces. The triangular bases contribute three edges each, and the three additional edges connect the vertices of the triangles, resulting in the total of nine edges. The six vertices come from the three vertices of each triangular base.
