A look at solid figures form different perspectives

Developed byIvan Seneviratne

Let’s look at different views

Look at a cone from a perspective view.

Look from different angles

Check out the same figure from:

The sides(or from any side view)

The top

The bottom

How to show side breaks

Start with this special figure:

Check out the other views!

Front left right back top

* note: the yellow lines indicates a break in the surface.

Using Isometric dot paper

1. Draw the top of a solid 4 by 7 units.

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sketch a rectangular solid 7 units long, 4 units wide, and 3 units high.

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

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3. Connect the lower vertices. Shade the top of the figure for depth if desired.

You have created a corner view of the solid figure.

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Nets and Surface AreaImagine cutting a cardboard box along its edges and laying it out flat. The resulting figure is called a net.

A net is very helpful in finding the surface area of a solid figure.

top

back

end

front

end

bottom

=

Let’s look at another net

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This is a triangular pyramid. Notice that all sides lay out to be triangles.

Find the surface area using a net

1. First, imagine the figure represented as a net.2. Find the area of each face.3. Find the sum of all the individual areas.

610

6

46

4

10

66 6

=

Surface area = (6 x 10) + (6 x 10) + (6 x 10) + ½(6)(4) + ½ (6)(4)

= 60 + 60 + 60 + 12 + 12

= 204

This presentation is developed by Ivan Seneviratne © 2006 purely for personal use.ivanthexplorer@yahoo.co.uk