The number of edges and vertices ina polyhedron will depend on the polyhedron one selects either to study, build or etc...
A square is not a polyhedron, it is a polygon. A cube is not a polygon, it is a polyhedron.A square has 4 edges and 4 vertexes. It has no faces because it is not a polyhedron. If you cut the corners off of a square, the new polygon has 8 edges and 8 vertexes.A cube has 6 faces, 12 edges, and 8 vertexes. If you cut the corners off of a cube, the new polyhedron has 14 faces, 36 edges, and 24 vertexes.
Using Euler's Polyhedron formula V+F-E=2, givenF=14 and E=24, we have V=12.The polyhedron has 12 vertices.This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
A polyhedron is in a subclass of geometric solids. The difference is that a polyhedron must have flat faces and straight edges.
The only thing that can be said that there must be at least 4 faces and at least 6 edges and that the polyhedron must satisfy the Euler criterion which requires that: Faces + Vertices = Edges + 2.
A tetradecachedron is a polyhedron, also known as a 14-sided polyhedron or 14-faced polyhedron. It is a convex solid with 14 faces, 24 edges, and 14 vertices. The term "tetradecachedron" can refer to any 14-faced polyhedron, not necessarily a specific shape.
False
False
The number of edges and vertices ina polyhedron will depend on the polyhedron one selects either to study, build or etc...
Edges meet at a vertex.
An endpoint where two edges intersect on a polyhedron is called a vertex.
False
A square is not a polyhedron, it is a polygon. A cube is not a polygon, it is a polyhedron.A square has 4 edges and 4 vertexes. It has no faces because it is not a polyhedron. If you cut the corners off of a square, the new polygon has 8 edges and 8 vertexes.A cube has 6 faces, 12 edges, and 8 vertexes. If you cut the corners off of a cube, the new polyhedron has 14 faces, 36 edges, and 24 vertexes.
Using Euler's Polyhedron formula V+F-E=2, givenF=14 and E=24, we have V=12.The polyhedron has 12 vertices.This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
must all edges of semiregular polyhedron be the same length
no
A polyhedron has 30 edges and 12 vertices. How many faces does it have