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How many edges and vertices on a triangular prism?
9 edges, 6 vertices. A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
How many faces edges and vertices does a triangular pyrimid have?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 4 faces, 6 edges, 4 vertices
What is the maximum number of edges in an acyclic undirected graph with n vertices?
n * (n - 1) / 2 That would ignore the "acyclic" part of the question. An acyclic graph with the maximum number of edges is a tree. The correct answer is n-1 edges.
How many faces edges and vertices would a pentagonal pyramid have?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 faces, 10 edges, 6 vertices
How many edges and veriticies are in a octagonal pyramid?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 16 edges, 9 vertices
How many edges and vertices and edges are in an hexagonal pyramid?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 12 edges, 7 vertices, 12 edges
Triangular pyramid edges vertices?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 edges, 4 vertices
In depth first traversal of a graph G with n vertices k edges are marked as tree edges the no of connected components in G is?
n-k-1
How many edges and vertices square pyramid have?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 8 edges, 5 vertices
How many edges and vertices does a octagonal pyramid?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 16 edges, 9 vertices
How many edges and vertices does a trianglur pyramid have?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 edges, 4 vertices
Show that a tree has at least 2 vertices of degree 1?
A tree is a connected graph with no cycles. By definition, a tree with ( n ) vertices has ( n - 1 ) edges. If we assume there are no vertices of degree 1, then every vertex must have a degree of at least 2. This would imply that the minimum number of edges required to connect the vertices in such a case would exceed ( n - 1 ), leading to a contradiction. Therefore, a tree must have at least two vertices of degree 1, which are typically the leaf nodes.
How many vertices and edges are in an unopened cereal?
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. 8 vertices, 12 edges
How many edges does a rectangular pyramid have and how many vertices?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 8 edges, 5 vertices
How many faces and edges and vertices does a pentogonal pyramid have?
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 faces, 10 edges, 6 vertices
How many edges and vertices on a triangular prism?
9 edges, 6 vertices. A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
Is there a relationship between the number of vertices and the number of edges of a prism?
Yes, there is a relationship between the number of vertices and edges of a prism. A prism has two parallel bases that are congruent polygons, and if the base has ( n ) vertices, then the prism will have ( 2n ) vertices. The number of edges in a prism is ( 3n ), consisting of ( n ) edges from each base and ( n ) vertical edges connecting the corresponding vertices of the bases. Thus, the relationship can be summarized as: for a prism with a base of ( n ) vertices, there are ( 2n ) vertices and ( 3n ) edges.
