draw the polyhedron with 4 triangles and 1 rectangle. write number of vertices and edges in the polyhedron.
Answers
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
Step-by-step explanation:
A polyhedron is said to be a regular polyhedron if its faces are made up of regular polygons and the same number of faces meet at each vertex. This means that the faces of a regular polyhedron are congruent regular polygons and its vertices are formed by the same number of faces. A cube is a regular polyhedron but a cuboid is not a regular polyhedron as its faces are not congruent rectangles.