3-D figures Euler's Formula

What is the flat surfaces of a 3-Dimensional Figure called?

• Faces

• Vertices

• Edges

Answer explanation

What is the points where two or more line segments meet in a 3-Dimensional figure called?

• Edges

• Faces

• Vertices

Answer explanation

What is the line segment where two faces meet on a 3-Dimensional figure called?

• Edges

• Faces

• Vertices

Answer explanation

What is Euler's Formula?

_ + _ = _ + 2

Type in full formula, do not include any spaces, only put the letter abbreviation.

Can a polyhedron have 6 faces, 5 vertices, and 3 edges?

• Yes!

• No!

Answer explanation

F + V = E + 2

6 + 5 = 3 + 2

11 does not = 5

No!

Faces = 6

Vertices = 5

Edges = 3

Can a polyhedron have 10 edges, 7 vertices, and 5 faces?

• Yes!

• No!

Answer explanation

F + V = E + 2

5 + 7 = 10 + 2

12 does = 12

Yes!

Faces = 5

Vertices = 7

Edges = 10

If a figure has 27 faces and 38 edges, how many vertices does it need to have?

Vertices =

Answer explanation

V + F = E + 2

x + 27 = 38 + 2

x + 27 = 40

- 27 -27

-------------

x = 13

Vertices = x

Faces = 27

Edges = 38

If you are making a game piece and it has 15 vertices and 20 edges. How many faces would the game piece need to have?

Answer explanation

F + V = E + 2

x + 15 = 20 + 2

x + 15 = 22

   - 15    -15

—--------------

x = 7

Faces = x

Vertices = 15

Edges = 20

How many vertices are in the figure 1?

How many vertices are in the figure 3?