A Square has 4 sides and 4 vertices.
a square
There is no limit to the number of vertices nor edges.
This describes a square pyramid. It has a square for a base, and four triangular sides that meet at the "top" or upper vertex. It will then have 5 faces, which will be the 4 triangular sides and the square base. It will also have 8 edges and 8 vertices. Use the link below to see a drawing and you can count all the faces, edges and vertices.
Sphere ( 0 faces , 0 edges , 0 vertices )
It is a cuboid
A cube or a cuboid would fit the given description
A Square has 4 sides and 4 vertices.
That's an impossible shape. No shape can have only 2 edges.
a square
cube
a square pyramid
It is a square based pyramid that has 5 faces, 8 edges and 5 vertices
An octagonal based pyramid has 16 edges and 9 vertices.
You are a cube that has 6 square faces, 12 edges and 8 vertices.
It depends on the exact shape. An octahedron is a shape with eight faces. It can be a heptagonal pyramid (8 vertices, 14 edges), or a hexagonal prism (12 vertices, 18 edges), square dipyramid (6 vertices, 12 edges) are some examples. There are more.
A pyramid with a quadrilateral base.