3-D Views of Solid Figures Lesson 10-2 3-D Views of Solid Figures Lesson 10-2: 3-D Views of Solid Figures
Lesson 10-2: 3-D Views of Solid Figures 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
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
Lesson 10-2: 3-D Views of Solid Figures Sketches 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. . . . . . . . . . . . . . . . . . . . . . Lesson 10-2: 3-D Views of Solid Figures
Lesson 10-2: 3-D Views of Solid Figures Sketches - continued Step 2: Draw segments 3 units down from each vertex (show hidden sides with dotted lines). . . . . . . . . . . . . . . . . . . . . . Lesson 10-2: 3-D Views of Solid Figures
Lesson 10-2: 3-D Views of Solid Figures Sketches - continued 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. . . . . . . . . . . . . . . . . . . . . . Lesson 10-2: 3-D Views of Solid Figures
Lesson 10-2: 3-D Views of Solid Figures Nets and Surface Area Imagine cutting a cardboard box along its edges and laying it out flat. The resulting figure is called a net. top back end front bottom = A net is very helpful in finding the surface area of a solid figure. Lesson 10-2: 3-D Views of Solid Figures
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
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. 33 10 6 6 10 33 = Surface area = (6 x 10) + (6 x 10) + (6 x 10) + ½(6)(33) + ½ (6)(33) = 60 + 60 + 60 + 93 + 93 = 180 + 183 Lesson 10-2: 3-D Views of Solid Figures