3D Views of Solid Figures

1
3-D Views of Solid Figures
Lesson 10-2
2
Different Views

• Perspective view of a cone

Different angle views of a cone
the side (or from any side view)
the top
the bottom
3
Example Different Views
Front
Left
Right
Back
Top
Note The dark lines indicated a break in the
surface.
4
Sketch a rectangular solid 7 units long, 4 units
wide, and 3 units high using Isometric dot paper .
Sketches

• Step 1 Draw the top of a solid 4 by 7 units.
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5
Step 2 Draw segments 3 units down from each
vertex (show hidden sides with dotted lines).
Sketches - continued

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Step 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.
Sketches - continued

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7
Nets and Surface Area

• Imagine 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.
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Lets look at another net.

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

9
Find the surface area of the figure 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.

Surface area (6 x 10) (6 x 10) (6 x 10)
½(6)(3?3) ½ (6)(3?3) 60 60 60 9?3
9?3 180 18?3