sphere
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
Any polyhedron can be deformed (its angles changed) without affecting the number of edges, vertices or faces.
Congruent shapes.
no. a 2d square has only 1 face but a 3d square (cube) has 6 faces.
sphere
cube and cuboid
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
Any polyhedron can be deformed (its angles changed) without affecting the number of edges, vertices or faces.
Rectangular prism Cube
Congruent shapes.
A cube and a rectangular prism.
no. a 2d square has only 1 face but a 3d square (cube) has 6 faces.
Sphere ( 0 faces , 0 edges , 0 vertices )
These shapes are alike because they have the same faces, edges,and vertices.
There are infinitely many sets. For example, a cube, cuboid, parallelepiped, rhombohedron and their less regular counterparts all have 6 quadrilateral faces, 12 edges and 8 vertices. There are similar sets for polyhedra with a different number of faces.
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.