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 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).
A pyramid has 5 faces, 5 corners and 8 edges corners and faces are always the same
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.
the simularites are they have the same vertices and edges
24
If the number of vertices is not the same as the number of faces, it cannot be a pyramid.
A cube
13 vertices. A pyramid always has the same number of faces and vertices.