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.
Part 4: Repeat steps 1–3 with a different polyhedron.

Choos

Answer 1

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.

Did Euler's formula work? Why or why not?
What other relationships did you find between your two polyhedra?
Which do you prefer: looking at a polyhedron as a net or as a 3-D object? Why do you prefer this?
Submit the following to your instructor:

Your real-world or Internet images of the two polyhedra.
A sketch of the nets of the two polyhedra.
The number of faces, vertices, and edges of the two polyhedra as well as a description of their relationship to the two-dimensional base polygons.
Responses to the questions in complete sentences.