Congruent shapes.
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
Pentagon
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.
Each cube has 6 faces, 12 edges and 8 vertices, so two [unconnected] cubes have 12 faces, 24 edges and 16 vertices (between them).
2 solid shapes together have 8 faces, 12 edges 8 vertices
Congruent shapes.
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
Pentagon
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.
Faces= 2 edges=5 vertices=12 Faces= 2 edges=5 vertices=12
For all polyhedra: vertices + faces = edges + 2 The given fact is: edges = vertices + 10 → vertices + faces = vertices + 10 + 2 → faces = 12
It has 6 faces and 12 edges
Yes. A cube has 6 faces and 12 edges.
Each cube has 6 faces, 12 edges and 8 vertices, so two [unconnected] cubes have 12 faces, 24 edges and 16 vertices (between them).
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. 12 faces, 24 edges, 16 vertices
no. a 2d square has only 1 face but a 3d square (cube) has 6 faces.