a look at solid figures form different perspectives developed by ivan seneviratne
TRANSCRIPT
Look from different angles
Check out the same figure from:
The sides(or from any side view)
The top
The bottom
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
=
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 [email protected]