3-D Views of Solid Figures

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

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

3. Example: Different Views Front Left Right Back Top * Note: The dark lines indicated a break in the surface. 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 . Sketches Step 1: Draw the top of a solid 4 by 7 units. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Lesson 10-2: 3-D Views of Solid Figures

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

9. 33 6 6 33 10 10 6 6 6 6 Find the surface area of the figure using a net. • First, imagine the figure represented as a net. • Find the area of each face. • Find the sum of all the individual areas. = 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 Lesson 10-2: 3-D Views of Solid Figures