LESSON
Drawing Three-Dimensional Figures
8-4
Lesson Objectives
Draw and identify parts of three-dimensional figures
Vocabulary
face (p. 408)
edge (p. 408)
vertex (p. 408)
orthogonal views (p. 408)
Additional Examples
Example 1
Name the vertices, edges, and faces of the three-dimensional figure
shown.
V
W
S
U
X
T
The vertices are:
.
The edges are:
.
The faces are triangles
, and rectangles
.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
161
Holt Mathematics
LESSON
Drawing Three-Dimensional Figures
8-4
Lesson Objectives
Draw and identify parts of three-dimensional figures
Vocabulary
face (p. 408) A flat surface of a three-dimensional figure.
edge (p. 408) The line segment along which two faces of a three-dimensional
figure intersect.
vertex (p. 408) On a three-dimensional figure, the intersection of three or more
faces.
orthogonal views (p. 408) A drawing that shows how a three-dimensional figure
looks from different perspectives.
Additional Examples
Example 1
Name the vertices, edges, and faces of the three-dimensional figure
shown.
V
W
S
U
X
T
The vertices are: S, T, U, V, W, X
.
S
, S
W
, W
V
, U
T
, T
X
, X
U
, V
U
, S
T, W
X
The edges are: V
The faces are triangles UTX and VSW
VSTU, SWXT, and VWXU
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
.
, and rectangles
.
161
Holt Mathematics
LESSON 8-4 CONTINUED
Example 2
Draw the figure shown in the front, top, and side views.
From the front and sides views, there appears to be
top level, in the
cube in the
corner. The top view shows the bottom
layer has
cubes.
Example 3
Draw the front, top, and side views of the figure.
Front
Top
Side
Front: The figure looks like a row of 3 squares
on the bottom with
square on top of the
leftmost square and 2 squares on top of the
rightmost square.
Top:
The figure looks like a row of
Side:
The figure looks like a column of
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
squares.
162
squares.
Holt Mathematics
LESSON 8-4 CONTINUED
Example 2
Draw the figure shown in the front, top, and side views.
From the front and sides views, there appears to be one
top level, in the top left
layer has three
cube in the
corner. The top view shows the bottom
cubes.
Example 3
Draw the front, top, and side views of the figure.
Front
Top
Side
Front: The figure looks like a row of 3 squares
on the bottom with 1
Front
square on top of the
leftmost square and 2 squares on top of the
rightmost square.
Top
Top:
The figure looks like a row of 3
Side:
The figure looks like a column of 3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
162
squares.
squares.
Side
Holt Mathematics