Question

draw the polyhedron with 4 triangles and 1 rectangle. write number of vertices and edges in the polyhedron.​

Answer 1

Answer:

Counting Faces, Vertices and Edges

When we count the number of faces (the flat surfaces), vertices (corner points), and edges of a polyhedron we discover an interesting thing:

The number of faces

plus the number of vertices

minus the number of edges equals 2

This can be written neatly as a little equation:

F + V − E = 2

It is known as Euler's Formula (or the "Polyhedral Formula") and is very useful to make sure we have counted correctly!

cube

Example: Cube

A cube has:

6 Faces

8 Vertices (corner points)

12 Edges

F + V − E = 6 + 8 − 12 = 2

Answer 2

Answer:

.

Step-by-step explanation:

There are 4 faces, 6 edges and 4 vertices. This solid is also a polyhedron. The bases are both pentagons, so it is a pentagonal prism. There are 7 faces, 15 edges, and 10 vertices.