Transcript 8-4 Drawing Three-Dimensional Figures

8-4 Drawing Three-Dimensional Figures
Warm Up
Problem of the Day
Lesson Presentation
Course 3
8-4 Drawing Three-Dimensional Figures
Warm Up
Find the circumference of each circle, both in
terms of p and to the nearest tenth. Use 3.14
for p.
1. radius 2.5 m
5p m; 15.7 m
2. diameter 8.8 cm
8.8p cm; 27.6 cm
Find the area of each circle, both in terms of p
and to the nearest tenth. Use 3.14 for p.
3. radius 14 ft
196p ft2; 615.4 ft2
4. diameter 14 ft
49p ft2; 153.9 ft2
Course 3
8-4 Drawing Three-Dimensional Figures
Problem of the Day
What is the least number of lines needed
to draw 5 squares ?
6
Course 3
Dimensional FiguresFigures
Drawing3Three-Dimensional
8-4 Drawing
Learn to draw and identify the parts of
three-dimensional figures.
Course 3
8-4 Drawing Three-Dimensional Figures
Vocabulary
face
edge
vertex
orthogonal views
Course 3
8-4 Drawing Three-Dimensional Figures
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.
Course 3
8-4 Drawing Three-Dimensional Figures
Vertex
Edge
Face
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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8-4 Drawing Three-Dimensional Figures
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
___ ___ ___ ___
The ___
edges
___are
___ WV, UT,
___
___: VS, SW,
S
W
TX, XU, VU, ST, and WX.
T
The faces are triangles UTX and
VSW and rectangles VSTU,
SWXT, VWXU.
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X
8-4 Drawing Three-Dimensional Figures
Check It Out: Example 1
Name the vertices, edges, and faces of the
three-dimensional figure shown.
E
The vertices are: A, B, C, D, E, F,
G, H.
A
___ ___ ___ ___
The ___
edges
___are
___ CB, BA,
___
___: AD, DC,
AE, EF, FG, GC, BF, DH, HE, and
GH.
The faces are squares ADHE and
BCGF and rectangles ABCD,
HGCD, EFGH, and EFBA.
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F
B
H
D
G
C
8-4 Drawing Three-Dimensional Figures
Additional Example 2: Drawing a Figure When Given
Different Perspectives
Draw the figure shown in front, top, and side
views.
Front
Top
Side
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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8-4 Drawing Three-Dimensional Figures
Check It Out: Example 2
Draw the figure shown in front, top, and side
views.
Front
Front
Top
Side
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.
Course 3
8-4 Drawing Three-Dimensional Figures
Additional Example 3: Drawing Different Perspectives
of a Figure
Draw the front, top, and side views of the
figure.
Front: 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.
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Front
8-4 Drawing Three-Dimensional Figures
Additional Example 3 Continued
Draw the front, top, and side views of the
figure.
Top: The figure looks like a row of 3
squares.
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Top
8-4 Drawing Three-Dimensional Figures
Additional Example 3 Continued
Draw the front, top, and side views of the
figure.
Side: The figure looks like a column
of 3 squares.
Side
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8-4 Drawing Three-Dimensional Figures
Check It Out: Example 3
Draw the front, top, and side views of the
figure.
Front: The figure looks like a row of
4 squares on the bottom with
2 squares on top.
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Front
8-4 Drawing Three-Dimensional Figures
Check It Out: Example 3 Continued
Draw the front, top, and side views of the
figure.
Top: The figure looks like a row of 4
squares.
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Top
8-4 Drawing Three-Dimensional Figures
Check It Out: Example 3 Continued
Draw the front, top, and side views of the
figure.
Side: The figure looks like a column
of 2 squares.
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Side
8-4 Drawing Three-Dimensional Figures
Lesson Quiz
1. Draw the figure shown in the front, top, and
side views.
Front
Top
Side
2. Draw the front and back views of the figure.
Front
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