sphere
According to Euler none; for all 3d shapes: Vertices + Faces = Edges + 2 ⇒ 12 + 8 = 19 + 2 ⇒ 20 = 21 So unless 20 does equal 21, no 3d shape has 8 faces, 19 edges and 12 vertices. Any 3d shape with 8 faces would be an octahedron.
No, not all three-dimensional shapes have vertices. A vertex is an angle point of any shape. Spheres do not have vertices.
no. a 2d square has only 1 face but a 3d square (cube) has 6 faces.
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
A cube has 6 faces
sphere
You can find a polyhedron with any number greater than 4 of vertices or faces. However, a torus, ellipsoid, sphere, paraboloid, hyperboloid are all standard shapes with no vertices. Cylinders, too, have no vertices. And there are many completely random shapes - a lump of putty, for example, which will have no vertex.
According to Euler none; for all 3d shapes: Vertices + Faces = Edges + 2 ⇒ 12 + 8 = 19 + 2 ⇒ 20 = 21 So unless 20 does equal 21, no 3d shape has 8 faces, 19 edges and 12 vertices. Any 3d shape with 8 faces would be an octahedron.
A triangular prism, which has 6 vertices and 5 faces.
food
No, not all three-dimensional shapes have vertices. A vertex is an angle point of any shape. Spheres do not have vertices.
For two dimensional shapes, a vertex (plural vertices) is a point where two sides meet.For 3D shapes, a vertex is a point where three or more faces meet.
no. a 2d square has only 1 face but a 3d square (cube) has 6 faces.
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
There is no 3d shape made up of octagons. An octahedron can be one of several different shapes - but without ANY octagonal faces. For example, A hexagonal pyramid (8 faces, 18 edges, 12 vertices) A heptagonal pyramid (8 faces, 14 edges, 8 vertices) A quadrilateral dipyramid (8 faces, 12 edges, 6 vertices)
The rule applies to POLYHEDRA (3D shapes) not Polygons, which are 2D Faces + Vertices - Edges = 2