Course 3 Chapter 6 Lesson5

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8-4
Drawing Three-Dimensional Figures
Warm Up
Problem of the Day
Lesson Presentation
Course 3
2
Warm Up
Find the circumference of each circle, both in
terms of p and to the nearest tenth. Use 3.14 for
p.
5? m 15.7 m
1. radius 2.5 m
2. diameter 8.8 cm
8.8? cm 27.6 cm
Find the area of each circle, both in terms of ?
and to the nearest tenth. Use 3.14 for ?.
3. radius 14 ft
196? ft2 615.4 ft2
49? ft2 153.9 ft2
4. diameter 14 ft
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Problem of the Day What is the least number of
lines needed to draw 5 squares ?
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4
Drawing 3 Dimensional Figures
Learn to draw and identify the parts of
three-dimensional figures.
Course 3
5
Vocabulary
face edge vertex orthogonal views
6
Three-dimensional figures have faces, edges, and
vertices. A face is a flat surface, an edge is
where two faces meet, and a vertex is where three
or more edges meet.
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Since in a drawing of a three-dimensional object,
you can only see up to three sides of a figure,
you have to visualize how the figure looks from
other angles. One way to do this is by drawing
the orthogonal views of the figure. Orthogonal
views show how the figure looks from the
different perspectives, such as the front, side,
and top views.
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Additional Example 1 Identifying Vertices,
Edges, and Faces
Name the vertices, edges, and faces of the
three-dimensional figure shown.
V
The vertices are S, T, U, V, W, X.
U
S
W
T
X
The faces are triangles UTX and VSW and
rectangles VSTU, SWXT, VWXU.
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Check It Out Example 1
Name the vertices, edges, and faces of the
three-dimensional figure shown.
The vertices are A, B, C, D, E, F, G, H.
F
E
B
A
H
G
D
C
The faces are squares ADHE and BCGF and
rectangles ABCD, HGCD, EFGH, and EFBA.
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Additional Example 2 Drawing a Figure When Given
Different Perspectives
Draw the figure shown in front, top, and side
views.
Side
Front
Top
From the top and side views, there appears to be
3 cubes on the top level. The front view shows
that the figure has six cubes.
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Check It Out Example 2
Draw the figure shown in front, top, and side
views.
Side
Side
Front
Top
Front
From the front and top views, there appears to be
1 cube on the bottom level. The side view shows
that the bottom layer has cubes.
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Additional Example 3 Drawing Different
Perspectives of a Figure
Draw the front, top, and side views of the figure.
The figure looks like a row of 3 squares on the
bottom with 2 squares on top of the right side
and 1 square on top of the left side.
Front
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Additional Example 3 Continued
Draw the front, top, and side views of the figure.
The figure looks like a row of 3 squares.
Top
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Additional Example 3 Continued
Draw the front, top, and side views of the figure.
The figure looks like a column of 3 squares.
Side
Side
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Check It Out Example 3
Draw the front, top, and side views of the figure.
The figure looks like a row of 4 squares on the
bottom with 2 squares on top.
Front
Front
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Check It Out Example 3 Continued
Draw the front, top, and side views of the figure.
The figure looks like a row of 4 squares.
Top
Top
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Check It Out Example 3 Continued
Draw the front, top, and side views of the figure.
The figure looks like a column of 2 squares.
Side
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Lesson Quiz
1. Draw the figure shown in the front, top, and
side views.
Front
Top
Side
Front
2. Draw the front and back views of the figure.
Front
Back