An octagonal pyramid has 9 faces, 9 vertices, 16 edges.
You cannot. For example: 6 faces can be a cuboid (8 vertices and 12 edges) or it can by a triangular di-pyramid (5 vertices, 9 edges). Incidentally, a triangular di-pyramid is just two triangular pyramids stuck together at one face.
no numbers have the same number of edges and vertices
A triangular dipyramid (two tetrahedrons or triangular pyramids stuck together) has 9 edges and 5 vertices. A parallelepiped (including cuboid) has 12 edges and 8 vertices
for any prism , number of ___ + number of vertices = number of edges + ___
5 faces 8 edges 5 vertices
7 faces 12 edges 7 vertices
A Connected Pyramids have 10 Faces, 12 Vertices, 20 Edges.
An octagonal pyramid has 9 faces, 9 vertices, 16 edges.
Pentagonal pyramids have six faces, ten edges, and six vertices. One of the faces is a pentagonal base, the rest are triangular.
Rectangular pyramids
You cannot. For example: 6 faces can be a cuboid (8 vertices and 12 edges) or it can by a triangular di-pyramid (5 vertices, 9 edges). Incidentally, a triangular di-pyramid is just two triangular pyramids stuck together at one face.
Faces = 4 Edges = 6 Vertices = 4 The shape is also known as a tetrahedron.
no numbers have the same number of edges and vertices
If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2
A triangular dipyramid (two tetrahedrons or triangular pyramids stuck together) has 9 edges and 5 vertices. A parallelepiped (including cuboid) has 12 edges and 8 vertices
No, prisms and pyramids do not have the same number of vertices. A prism has two identical polygonal bases connected by rectangular faces, so it has 2 more vertices than the number of sides in the base polygon. A pyramid has a polygonal base and triangular faces connecting the base to a single vertex, so it has 1 more vertex than the number of sides in the base polygon.