Second 4-D geometry study sheet:

You will have problems the following types on the second quiz:

Prisms: Figure out how many vertices, and edges a 4D prism has. For example:

1: Tell the number of vertices and edges the 4-D prism has whose base is below. Explain how you figured it out

2. Tell the number of vertices and edges the 4-D prism has whose base is below.

A. Explain why the number of vertices in the 4D prism is twice the number of vertices on the base

B. Explain why the number of edges in the 4D prism is twice the number of edges on the base plus the number of vertices on the base.

3. Alice is figuring out the number of vertices and edges in the 4D prism with base:

A. Alice knows that the 4D prism will have more vertices than the base, which has 5 vertices. How many more vertices will there be on a 4D prism? Why?

A 4D prism will have 5+____ vertices because...

B. Alice knows that the 4D prism will have more edges than there are on the base, which has 8 edges. How many more edges will there be on a 4D prism? Why?

A 4D prism will have 8+___+___ vertices because...

 

Answers