# of faces + # of edges + # of vertecies + 2
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.
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.
triangle
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
# of faces + # of edges + # of vertecies + 2
This would be a triangular prism.
Faces= 2 edges=5 vertices=12 Faces= 2 edges=5 vertices=12
It the cylinder because it has 2 bases 2 faces 0 vertices And 0 edges
cylinder: 3 faces, 2 edges, 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 cylinder
A solid cone has 2 faces and 1 edge
A cylinder.
A Cylinder.
cylinder
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.