n+2
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
A parallelogram or trapezoid.No!A parallelogram or a trapezoid are polygons (2-dimensional). A polyhedron, or 3-dimensional object, with parallel congruent bases is a prism.A prism. To give it fuller description, an "n-gonal prism" where the "n-gon" refers to the 2-d name of the bases.
There are N triangles in a N-gon
There are 15 triangles in a 17-agon
N
n + 2
A 14-gon prism has 16 faces: 2 hexagonal bases and 14 rectangular lateral faces. In contrast, a 14-gon pyramid has 15 faces: 1 hexagonal base and 14 triangular lateral faces. Therefore, a 14-gon prism has 1 more face than a 14-gon pyramid.
0
3n edges.
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
An icosahedron is a polyhedron with 20 faces. The number of vertices and edges is indeterminate because there are many possible configurations.Three examples:A pyramid with a 19-gon base: 20 vertices, 38 edges.A dipyramid with a decagon base: 12 vertices, 30 edges.A prism with 18-gon bases: 36 vertices, 54 edges.An icosahedron is a polyhedron with 20 faces. The number of vertices and edges is indeterminate because there are many possible configurations.Three examples:A pyramid with a 19-gon base: 20 vertices, 38 edges.A dipyramid with a decagon base: 12 vertices, 30 edges.A prism with 18-gon bases: 36 vertices, 54 edges.An icosahedron is a polyhedron with 20 faces. The number of vertices and edges is indeterminate because there are many possible configurations.Three examples:A pyramid with a 19-gon base: 20 vertices, 38 edges.A dipyramid with a decagon base: 12 vertices, 30 edges.A prism with 18-gon bases: 36 vertices, 54 edges.An icosahedron is a polyhedron with 20 faces. The number of vertices and edges is indeterminate because there are many possible configurations.Three examples:A pyramid with a 19-gon base: 20 vertices, 38 edges.A dipyramid with a decagon base: 12 vertices, 30 edges.A prism with 18-gon bases: 36 vertices, 54 edges.
3n. n for the n-gon at each end, making 2n; and n along the length.
A twelve-sided prism is called a dodecagonal prism. The prefix "dodeca-" denotes twelve sides, while "gon" refers to a polygon. In geometry, a prism is a polyhedron with two parallel and congruent faces called bases, and its other faces are parallelograms. A dodecagonal prism would have twelve sides, twelve vertices, and twenty-four edges.
A dodecahedron has 12 pentagonal faces. But a 12-faced polyhedron could also be a 11-gon based pyramid, or a decagonal prism, or a hexagonal dipyramid, or many other shapes.
It has 20 faces. The number of edges will depend on the exact configuration of the shape. For example, a icosahedron in the form of a prism, with 18-gons as bases, will have 54 edges. On the other hand a pyramid with a 19-gon base will have 38 edges. A bipyramid with a decagon base will have 30 edges. There are very many more possible shapes.
A 50-gonal prism consists of two 50-gon bases and 50 rectangular lateral faces. Each base contributes 50 edges, and the lateral edges connect the corresponding vertices of the two bases, adding another 50 edges. Therefore, the total number of edges in a 50-gonal prism is 50 (for the bottom base) + 50 (for the top base) + 50 (lateral edges) = 150 edges.
n + 1