Question

Part 1: Choose a polyhedron.
Find an image either online or by taking a picture of something you find in the real world.
If you are using the Internet to find this object, make sure to follow the guidelines and safety
precautions for completing Internet searches.
Part 2: Sketch the net of the polyhedron.
Provide a sketch of the net of the polyhedron.
Part 3: Identify parts of the polyhedron.
List the number of faces, vertices, and edges of the polyhedron. Describe their relationship to
the two-dimensional base polygon.

Answer 1

Part 4: Repeat steps 1–3 with a different polyhedron.
Choose a second polyhedron, sketch its net, and identify its parts.
Part 5: Test out Euler's formula on both polyhedra images and then answer the following questions.
1. Did Euler's formula work? Why or why not?
2. What other relationships did you find between your two polyhedra?
3. Which do you prefer: looking at a polyhedron as a net or as a 3-D object? Why do you prefer
this?

Answer 2

@phi

Answer 3

@timo86m
@jdoe0001

Answer 4

Here are some polyhedrons

Answer 5

So far ive chosen a triangular prism and a triangular pyramid

Answer 6

@phi

Answer 7

Part 2: Sketch the net of the polyhedron.
Provide a sketch of the net of the polyhedron.

The net is what you get if you cut up the figure and unfold it.

Answer 8

how do you describe the relationships of a triangular prism with its 2 dimensional base polygon?

Answer 9

The pyramid is not too bad. cut the sides from the pointy top. then unfold

Answer 10

how do you describe the relationships of a triangular prism with its 2 dimensional base polygon?

Answer 11

The question asks

List the number of faces, vertices, and edges of the polyhedron. Describe their relationship to
the two-dimensional base polygon.

The number of faces of the triangular prism is top and bottom + 3 sides
or 5 total faces. The number of faces is 2 more than the number of edges in the base polygon.

Answer 12

how do you describe the relationships of a triangular pyramid with its 2 dimensional base polygon?

Answer 13

@phi

Answer 14

what did you get for
List the number of faces, vertices, and edges of the triangular prism?

Answer 15

5 faces, 9 edges, 6 verticies

Answer 16

the base has 3 edges and 3 vertices.

the 3 edges correspond to the 3 side faces.
for every vertex on the base there is a corresponding vertex on the top, so the figure has twice as many vertices as its base face.

Answer 17

what about for triangular pyramid????

Answer 18

@phi

Answer 19

a triangular pyramid has a base with 3 edges and 3 vertices
how do the number of faces, edges and vertices compare to that ?

Answer 20

6 edges, 4 faces, 4 verticies

Answer 21

@phi