1. Lesson 10-2: 3-D Views of Solid Figures 1 3-D Views of Solid Figures Lesson 10-2

2. Lesson 10-2: 3-D Views of Solid Figures 2 Different Views Perspective view of a cone the side (or from any side view) the topthe bottom Different angle views of a cone

3. Lesson 10-2: 3-D Views of Solid Figures 3 Example: Different Views * Note: The dark lines indicated a break in the surface. FrontLeftRightBack Top

4. Lesson 10-2: 3-D Views of Solid Figures 4 Sketch a rectangular solid 7 units long, 4 units wide, and 3 units high using Isometric dot paper. Step 1: Draw the top of a solid 4 by 7 units...................... Sketches

5. Lesson 10-2: 3-D Views of Solid Figures 5 Step 2: Draw segments 3 units down from each vertex (show hidden sides with dotted lines)...................... Sketches - continued

6. Lesson 10-2: 3-D Views of Solid Figures 6 Step 3: Connect the lower vertices. Shade the top of the figure for depth if desired. You have created a corner view of the solid figure...................... Sketches - continued

7. Lesson 10-2: 3-D Views of Solid Figures 7 Nets and Surface Area Imagine cutting a cardboard box along its edges and laying it out flat. The resulting figure is called a net. A net is very helpful in finding the surface area of a solid figure. top back end front end bottom =

8. Lesson 10-2: 3-D Views of Solid Figures 8 Let’s look at another net. This is a triangular pyramid. Notice that all sides lay out to be triangles. =

9. Lesson 10-2: 3-D Views of Solid Figures 9 Find the surface area of the figure using a net. 1.First, imagine the figure represented as a net. 2.Find the area of each face. 3.Find the sum of all the individual areas. 6 10 6 3333 6 3333 66 6 = Surface area = (6 x 10) + (6 x 10) + (6 x 10) + ½(6)(3  3) + ½ (6)(3  3) = 60 + 60 + 60 + 9  3 + 9  3 = 180 + 18  3