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

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; 615.4 ft2 4. diameter 14 ft 49 ft2; 153.9 ft2

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

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

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

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.

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.

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.

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.

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.

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.

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

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

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

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

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

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.

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