How many vertices and edges does a square pyramid have?

Answer 1

A Pyramid by definition has a square foundation, four sides each in the form of a triangle rising to terminate in a point. So, explain square pyramid. In mathematics a pyramid number, or square pyramidal number is a figurate number that represents the number of stacked spheres in a pyramid with a square base.

Therefore on the top of the pyramid will be one sphere, underneath that will be four spheres, underneath that will be 9 spheres and underneath that will be 16 spheres. The numerical progression will be 1 - 4 - 9 - 16. So take any slice though a pyramid (side to side that is) and you will have a top, a bottom and four sides

Answer 2

The square base has four edges and four vertices.

The four sloping edges go to one more vertex. That means we have eight edges and five vertices.

By the way, there are five faces - the four sloping triangular sides and the square base.

There is a marvellous rule for faces

edges and vertices.

V + F =

S + 2. V, F and S are the numbers of Vertices,

Faces and Edges.

A cube has 6 Faces, 8 Vertices

(corners) and 12 Edges. 6 + 8 =

12 + 2.

Answer 3

A square pyramid has 5 vertices and 8 edges.

Answer 4

A square pyramid has 8 edges and 5 vertices. The base is a square with four edges and vertices. The sides are made of 4 triangles each sharing an edge and vertex.

Answer 5

8 and 5