tricontatetrahedron
A cube could be described as a box, or as a three dimensional square.
It is a square based pyramid which has 5 faces, 8 edges and 5 vertices
No. Every solid shape has at least one face. The closest you will get is a sphere, which has no edges or vertices, but it still has a face.
The question is ambiguous. An octagon is a 2-dimensional shape with 8 edges and 8 vertices. Does a 3-D octagonal shape mean one with 8 edges or 8 faces or vertices, or faces which are 2d octagons?
rectangular prism
There is not a polyhedron with the given number of faces, edges and vertices.
An octahedron is a polyhedron with eight faces, twelve edges, and six vertices
In geometry, a decahedron is a polyhedron with ten faces. There are 32300 topologically distinct decahedra and none are regular, so this name is ambiguous.One regular decahedron is an octagonal prism. Along with its 10 faces, it has 16 vertices and 24 edges.
According to the Euler characteristic, the number of faces, edges and vertices are related by: V - E + F = 2 for ANY convex polyhedron. If V = E then F = 2 faces. Also, E = F requires V = 2 vertices. No such figure exists.
A cube could be described as a box, or as a three dimensional square.
Well, a triangular prism has 5 faces and 6 vertices, but it has 9 edges. So I'm not sure.
A triangular prism has 5 faces, 9 edges and 6 vertices
It is a square based pyramid which has 5 faces, 8 edges and 5 vertices
Square based pyramid.
1~Tetrahedron *4 faces (made of equilateral triangles) *6 edges *5 vertices 2~Hexahedron (cube) *6 faces (made of squares) *12 edges *8 vertices 3~Octrahedron *8 faces (made up of equilateral triangles) *12 edges *6 vertices 4~Icosahedron *20 faces (made of equilateral triangles) *30 edges *12 verticies 5~Dodecahedron *12 faces (made of pentagons) *30 edges *20 vertices.
If a planar graph G is drawn in the plane, so that no two edges cross, the plane is divided into a number of regions which may be called "faces". Euler's Theorem (for planar graphs): Let G be a connected planar graph drwawn in the plane. If there are v vertices, e edges, and f faces, then v - e + f = 2. An application of this theorem gives Euler's Theorem for polyhedra.Euler's Theorem (for polyhedra): If a convex polyhedron has v vertices, e edges, and f faces, then v - e + f = 2 For particular polyhedra is easy to confirm the result stated in theorem. For example, a cube has 8 vertices (v = 8), 12 edges (e = 12), and 4 faces (f = 4) So, v - e + f = 8 - 12 + 4 = 2.A tetrahedrom has v = 4, e = 6, and f = 4. So, v - e + f = 4 - 6 + 4 = 2. Look at this site to understand better (you can see pictures there).http://www.ics.uci.edu/~eppstein/junkyard/euler/ Euler formula: for any convex polyhedron, the number of vertices and faces together is exactly two more than the number of edges. Symbolically V-E+F=2 The polyhedron formula, of course, can be generalized in many important ways, some using methods described below. One important generalization is to planar graphs. To form a planar graph from a polyhedron, place a light source near one face of the polyhedron, and a plane on the other side. The shadows of the polyhedron edges form a planar graph, embedded in such a way that the edges are straight line segments. The faces of the polyhedron correspond to convex polygons that are faces of the embedding. The face nearest the light source corresponds to the outside face of the embedding, which is also convex. Conversely, any planar graph with certain connectivity properties comes from a polyhedron in this way.You can see here that there are 8 vertices, 14 edges, and 8 faces. So,v - e + f = 8 - 14 + 8 = 2 Look at this site also.http://www.highpointsmath.com/SiteMap/Polyhedron.htmlPolyhedron * A polyhedron is a space figure each of whose faces is a polygon. * In other words, a polyhedron is a solid shape whose faces are all polygons. * Cubes, prisms, and pyramids are polyhedra. More about Polyhedron * A regular polyhedron is a polyhedron in which all faces are regular polygons of the same shape and size. Name the polyhedron that has 4 faces, 6 edges, and 4 vertices. Choices: A. hexahedron B. cone C. tetrahedron D. octahedron Correct Answer: C Solution: Step 1:A tetrahedron or a triangular pyramid is a pyramid with a triangular base.Step 2: The net of a tetrahedron that can be folded and joined to form a tetrahedron is as shown.Step 3:The points 2, 3, and 4 forms the base, and the sides join at point 1 to form a pyramid. Step 4: There are 4 faces, 6 edges, and 4 vertices in a tetrahedron. Step 5: So, tetrahedron is a polyhedron that has 4 faces, 6 edges, and 4 vertices.
6 vertices, 2 triangular faces, 3 rectangular sides, 9 edges