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8-4

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

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8-4

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

  2. 8-4 Drawing Three-Dimensional Figures Course 3 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

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

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

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

  6. 8-4 Drawing Three-Dimensional Figures Course 3 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 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. 8-4 Drawing Three-Dimensional Figures ___ ___ ___ ___ The edges are : VS, SW, WV, UT, TX, XU, VU, ST, and WX. ___ ___ ___ ___ ___ Course 3 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.

  9. 8-4 Drawing Three-Dimensional Figures ___ ___ ___ ___ The edges are : AD, DC, CB, BA, AE, EF, FG, GC, BF, DH, HE, and GH. ___ ___ ___ ___ ___ Course 3 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.

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

  11. 8-4 Drawing Three-Dimensional Figures Course 3 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.

  12. 8-4 Drawing Three-Dimensional Figures Front Course 3 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.

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

  14. 8-4 Drawing Three-Dimensional Figures Course 3 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 Course 3 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. 8-4 Drawing Three-Dimensional Figures Course 3 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. 8-4 Drawing Three-Dimensional Figures Side Course 3 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.

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

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