Question

Сколько у пирамиды вершины ребра грани если в ее основании лежит шестиугольник

Answer 1

Вершин 7
рёбер 12
граней 7

Answer 2

Calculating the Number of Vertices, Edges, and Faces of a Hexagonal Pyramid

To calculate the number of vertices, edges, and faces of a hexagonal pyramid, we can use the following formulas:

1. Vertices (V): The number of vertices in a pyramid can be calculated using the formula V = F + 1, where F is the number of vertices in the base shape. 2. Edges (E): The number of edges in a pyramid can be calculated using the formula E = 3F, where F is the number of edges in the base shape. 3. Faces (F): The number of faces in a pyramid is always the number of faces in the base shape plus one (the base itself and the additional triangular faces).

Applying the Formulas to a Hexagonal Pyramid

For a hexagonal pyramid, the base shape is a hexagon, which has 6 vertices, 6 edges, and 6 faces.

1. Vertices (V): Using the formula V = F + 1, where F is the number of vertices in the base shape (6), we get V = 6 + 1 = 7 vertices. - Source: 2. Edges (E): Using the formula E = 3F, where F is the number of edges in the base shape (6), we get E = 3 * 6 = 18 edges. - Source: 3. Faces (F): The number of faces in a hexagonal pyramid is the number of faces in the base shape (6) plus one, which gives us 7 faces. - Source: Therefore, for a hexagonal pyramid, there are: - 7 vertices - 18 edges - 7 faces