yes
Any triangle-based pyramid will do. If the sides are all the same length it's then called a tetrahedron.
A pyramid is a generic term for a 3-D polyhedron which has a polygonal base and triangular lateral faces that meet at an apex above the base. If the polygonal base has n sides, the pyramid has n+1 faces, n+1 vertices and 2n edges. A pyramid can, therefore have 4 or more vertices. So, there is bound to be a pyramid that will have the same number of vertices as a triangular prism (6).
No, it is not true that the height of a regular pyramid is the height of a lateral face. The height of a regular pyramid is defined as the perpendicular distance from the apex (top vertex) to the base. In contrast, the height of a lateral face (triangular face) is the perpendicular distance from the apex to the base of that triangular face, which is not necessarily the same as the pyramid's overall height.
A shape with 6 faces, 8 vertices, and 12 edges, where all edges are the same length, is a cube. In a cube, each face is a square, and the geometric properties result in equal-length edges. This three-dimensional figure is a fundamental example of a regular polyhedron, specifically a type of Platonic solid.
yes
The given description fits that of a triangular based pyramid which has 4 faces, 6 edges and 4 vertices
Any triangle-based pyramid will do. If the sides are all the same length it's then called a tetrahedron.
there both flat
must all edges of semiregular polyhedron be the same length
A pyramid has 5 faces, 5 corners and 8 edges corners and faces are always the same
A pyramid is a generic term for a 3-D polyhedron which has a polygonal base and triangular lateral faces that meet at an apex above the base. If the polygonal base has n sides, the pyramid has n+1 faces, n+1 vertices and 2n edges. A pyramid can, therefore have 4 or more vertices. So, there is bound to be a pyramid that will have the same number of vertices as a triangular prism (6).
the simularites are they have the same vertices and edges
If the number of vertices is not the same as the number of faces, it cannot be a pyramid.
24
A cube
13 vertices. A pyramid always has the same number of faces and vertices.
No, a square pyramid has a square as a base end the four edges end in the peak. The cube has 8 corners, the square pyramid has 5.