A triangular based pyramid has 4 faces and 4 vertices
cone
They are square based pyramids
cube and cuboid
Rectangular prism Cube
Sometimes. A prism whose base is a n-sided polygon has the same number of vertices (2n) as a pyramid with a base that is a (2n-1)-sided polygon. For example, a triangular prism has the same number of vertices as a pentagonal pyramid.
any pyramid
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 cuboid, a parallelepiped.
If the number of vertices is not the same as the number of faces, it cannot be a pyramid.
13 vertices. A pyramid always has the same number of faces and vertices.
cone
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
Sphere ( 0 faces , 0 edges , 0 vertices )
Any polyhedron can be deformed (its angles changed) without affecting the number of edges, vertices or faces.
A rectangular dipyramid.
sphere