A square-based pyramid.
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.
any pyramid
cube
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.
Any pyramid.
A sphere- there are no faces, edges or vertices
A cube is a solid figure with eight vertices and all faces of equal size.
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 triangular based pyramid has 4 faces and 4 vertices
any pyramid
cube
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.
In pyramids, faces equal vertices. 5 = 5
Any pyramid.
The number of faces is 6, the number of vertices (not vertices's) is 8.
A cuboid, a parallelepiped.
a sphere