1. 8-4 Drawing Three-Dimensional Figures Warm Up Problem of the Day
Lesson Presentation
Course 3

2. 8-4 Drawing Three-Dimensional Figures Warm Up
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
5 m; 15.7 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; ft2
4. diameter 14 ft
49 ft2; ft2

3. 8-4 Drawing Three-Dimensional Figures Problem of the Day
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

4. 8-4 Learn to draw and identify the parts of three-dimensional figures.
Course 3
8-4
Drawing Three-Dimensional Figures
Drawing 3 Dimensional Figures
Learn to draw and identify the parts of three-dimensional figures.
Course 3

5. Vocabulary 8-4 Drawing Three-Dimensional Figures face edge vertex
Course 3
8-4
Drawing Three-Dimensional Figures
Vocabulary
face
edge
vertex
orthogonal views

6. 8-4 Drawing Three-Dimensional Figures
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.

7. 8-4 Drawing Three-Dimensional Figures Vertex Edge Face
Course 3
8-4
Drawing Three-Dimensional Figures
Vertex
Face
Edge
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.

8. Additional Example 1: Identifying Vertices, Edges, and Faces
Course 3
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 S
The edges are : VS, SW, WV, UT, TX, XU, VU, ST, and WX.
___ W T X
The faces are triangles UTX and VSW and rectangles VSTU, SWXT, VWXU.

9. 8-4 Drawing Three-Dimensional Figures Check It Out: Example 1
Course 3
8-4
Drawing Three-Dimensional Figures
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. E F A B
The edges are : AD, DC, CB, BA, AE, EF, FG, GC, BF, DH, HE, and GH.
___ H G D C
The faces are squares ADHE and BCGF and rectangles ABCD, HGCD, EFGH, and EFBA.

10. 8-4 Drawing Three-Dimensional Figures
Course 3
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.

11. 8-4 Drawing Three-Dimensional Figures Check It Out: Example 2
Course 3
8-4
Drawing Three-Dimensional Figures
Check It Out: Example 2
Draw the figure shown in front, top, and side views.
Side
Front
Top
Side
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.

12. Additional Example 3: Drawing Different Perspectives of a Figure
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.
Front

13. Additional Example 3 Continued
Course 3
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.
Top

14. Additional Example 3 Continued
Course 3
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

15. 8-4 Drawing Three-Dimensional Figures Check It Out: Example 3
Course 3
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.
Front

16. Check It Out: Example 3 Continued
Course 3
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.
Top

17. Check It Out: Example 3 Continued
Course 3
8-4
Drawing Three-Dimensional Figures
Check It Out: Example 3 Continued
Draw the front, top, and side views of the figure.
Side
Side:
The figure looks like a column of 2 squares.

18. 8-4 Drawing Three-Dimensional Figures Lesson Quiz
Course 3
8-4
Drawing Three-Dimensional Figures
Lesson Quiz
1. Draw the figure shown in the front, top, and side views.
Front
Front
Top
Side
2. Draw the front and back views of the figure.
Front
Back