FIND VERTICES EDGES AND FACES WORKSHEET

Write the number of faces, edges, and vertices, and identify each 3D shape.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 1 :

Using Euler's rule, determine the number of edges for a figure with 5 vertices and 4 regions.

Solution

Problem 2 :

Using Euler's rule, determine the number of edges for a figure with 6 vertices and 5 regions.

Solution

Problem 3 :

Using Euler's rule, determine the number of vertices for a figure with 7 edges and 3 regions

Solution

Problem 4 :

Using Euler's rule, determine the number of vertices for a figure with 9 edges and 4 regions

Solution

Problem 5 :

Using Euler's rule, determine the number of regions for a figure with 10 edges and 8 vertices.

Solution

Problem 6 :

Using Euler's rule, determine the number of regions for a figure with 12 edges and 7 vertices.

Solution

Problem 7 :

Use Euler's rule

E = V + R - 2

to determine the number of :

a) Edges in a plane figure with 11 vertices and 5 faces.

b) Faces in a plane figure with 9 vertices and 17 edges.

Solution

Problem 8 :

Use Euler's rule E = V + F - 2 to determine the number of :

a) Vertices if there are 7 faces and 14 edges.

b)  faces if there are 12 edges and 8 vertices.

Solution