Shape       

Copyright David & Cynthia Thomas, 2009

 

Visualizing 3-Dimensional Objects--Exercises

 

Part I

Do the challenge problem and directed activities in this section

 

Part II

Complete the following exercises

1.      In a Flatland type scenario, imagine that you were visited by a 4-dimensional being.  How might that being’s perception of our world differ from your perception of it?

2.      Research then write a 300 – 500 word essay on the theme “Higher dimensions: Do they exist and how would we know?”

3.      Using NCTM’s Isometric Drawing Tool, create isometric, front, top, and side views of objects composed of the following number of unit cubes:

a.      

b.      5

c.       8

4.      Given the following front, top, and right side views, create an isometric view of the object.

 

Front

Top

Right Side

a)

b)

c)