How many faces and edges and vertices does a square pyramid have?

Answer 1

A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.

5 faces, 5 vertices, 8 edges.
Imagine the big Egyptian pyramids and you'll get the idea. They have 4 big triangular faces plus the square face on the bottom for a total of 5 faces. There's one pointy bit, or vertex, at the top and four more at each corner of the square bottom face, for a total of 5 vertices. Now there are 4 edges around the square bottom of the pyramid, and then four more edges that connect the corners of the bottom square to the vertex at the top, for a total of 8 edges.
"Dose" is a measured portion of a medicine. I am not aware of any square based pyramids that have measured quantities of medication!

A square based pyramid DOES have 5 faces, 5 vertices and 8 edges. Faces (4 sides plus base) 5

Vertices 5

Edges 8

Answer 2

First, picture it in your mind. A square has four sides, the pyramid is made up of triangles. Four triangles make the upward faces of a square pyramid, but one other is on the bottom, the square, so a square pyramid has five faces.

Vertices are almost as easy, count them from top down, one at the pinnacle, one at each corner of the pyramid, total 5.

Finally edges, there are four triangles, so four edges, but each triangle is also joined to the square, so four more edges. Four and four make eight.

So, five faces, five vertices, and eight edges.