1. Section 1

1.6. Explore

Mathematics 20-3 Module 5

Section 1: Viewing and Representing 3-D Objects

 

Explore

 

In Discover you investigated the six possible views of objects made up of cubes. A view is a two-dimensional (flat) drawing of one of the faces of a three-dimensional object. As you discovered in Try This 1, not all views are necessarily unique.

 

Example

 

This is a photo of a cylindrical candle.

iStockphoto/Thinkstock

Draw the candle's different views. How many different views do you see in the photo?

 

Solution

 

There are three views, as shown in the following illustration.

 

There is only one side view. The top and bottom views are similar but slightly different due to the candle's wick.

 

This graphic shows the three views of a candle.


textbook

Go to pages 219 to 221 of MathWorks 11 and read “Explore the Math,” including Examples 1 and 2. As you read the passages, think about the following:

  • Notice how the terms views and elevations are used in the same way (interchangeably).

  • List some situations where views or elevations are helpful.

  • How are component parts diagrams an example of elevations?

You can now practise drawing views in Self-Check 1.