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

2. Warm Up Course 3 8-4 Drawing Three-Dimensional Figures Find the circumference of each circle, both in terms of  and to the nearest tenth. Use 3.14 for . 1. radius 2.5 m 2. diameter 8.8 cm 3. radius 14 ft Find the area of each circle, both in terms of  and to the nearest tenth. Use 3.14 for . 4. diameter 14 ft 196ft 2 ; 615.4 ft 2 5m; 15.7 m 8.8cm; 27.6 cm 49ft 2 ; 153.9 ft 2

3. Problem of the Day What is the least number of lines needed to draw 5 squares ? 6 Course 3 8-4 Drawing Three-Dimensional Figures

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

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

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. Course 3 8-4 Drawing Three-Dimensional Figures

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

8. Name the vertices, edges, and faces of the three-dimensional figure shown. Additional Example 1: Identifying Vertices, Edges, and Faces The vertices are: S, T, U, V, W, X. The faces are triangles UTX and VSW and rectangles VSTU, SWXT, VWXU. Course 3 8-4 Drawing Three-Dimensional Figures U T X V S W The edges are : VS, SW, WV, UT, TX, XU, VU, ST, and WX. ___

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

10. Draw the figure shown in front, top, and side views. Additional Example 2: Drawing a Figure When Given Different Perspectives 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. Course 3 8-4 Drawing Three-Dimensional Figures Front Top Side

11. Draw the figure shown in front, top, and side views. Check It Out: Example 2 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 Front Top Side Front Side

12. Draw the front, top, and side views of the figure. Additional Example 3: Drawing Different Perspectives of a 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. Course 3 8-4 Drawing Three-Dimensional Figures Front Front:

13. Draw the front, top, and side views of the figure. Additional Example 3 Continued The figure looks like a row of 3 squares. Course 3 8-4 Drawing Three-Dimensional Figures Top Top:

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

15. Draw the front, top, and side views of the figure. Check It Out: Example 3 The figure looks like a row of 4 squares on the bottom with 2 squares on top. Course 3 8-4 Drawing Three-Dimensional Figures Front Front:

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

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

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