1. 3-D Views of Solid Figures
A look at solid figures form different perspectives
Developed by
Ivan Seneviratne

2. Let’s look at different views
Look at a cone from a perspective view.

3. Look from different angles
Check out the same figure from:
The bottom
The sides
(or from any side view)
The top

4. How to show side breaks
Start with this special figure:

5. Check out the other views!
Front left right back top
* note: the yellow lines indicates a break in the surface.

6. Using Isometric dot paper
sketch a rectangular solid 7 units long, 4 units wide, and 3 units high.
1. Draw the top of a solid 4 by 7 units.

7. 2. Draw segments 3 units down from each vertex
2. Draw segments 3 units down from each vertex (show hidden sides with dotted lines)

8. Connect the lower vertices
Connect the lower vertices. Shade the top of the figure for depth if desired. You have created a corner view of the solid figure.

9. Nets and Surface Area
Imagine cutting a cardboard box along its edges and laying it out flat. The resulting figure is called a net.
top
back
end
front
bottom =
A net is very helpful in finding the surface area of a solid figure.

10. Let’s look at another net
This is a triangular pyramid. Notice that all sides lay out to be triangles. =

11. Find the surface area using a net
First, imagine the figure represented as a net.
Find the area of each face.
Find the sum of all the individual areas. 4 10 6 6 10 4 =
Surface area = (6 x 10) + (6 x 10) + (6 x 10) + ½(6)(4) + ½ (6)(4) =
= 204

12. This presentation is developed by Ivan Seneviratne © 2006 purely for personal use.