Fundamentals of 3D Figures
Learn to visualize 3D shapes, and describe them based on their vertices, edges, faces, and bases.
Obsah
- Naming 3D Figures
- Naming Prisms and Cylinders
- Naming Pyramids and Cones
- Visualizing Spheres
- Describing 3D Figures
- Describing 3D Figures Using Vocabulary Terms
Naming Prisms and Cylinders
[b]Base of a Prism:[/b] The two congruent and parallel sides that the prism is named for. For a prism, if there are two sides that are not rectangles, these will be the bases. If all the sides are rectangles, any two of the rectangles that are parallel to each other can be considered the bases. [br][br][b]Base of a Cylinder:[/b] Two circles that are parallel to each other that the cylinder can rest or "sit" on.[br][br][b]Directions:[/b] Use your mouse to move the figures below and identify the shape of their bases. [b]Then[/b] [b]fill in the first page of your notes template for this lesson.[/b]
[size=85][b]Hint:[/b] Remember that a square is a specific type of rectangle? Although there are many options for bases in the above figure, we want to pick the most specific shape as our base.[/size]
Describing 3D Figures Using Vocabulary Terms
The [b]vertices[/b] in the manipulatives below are represented by the [b][color=#ff0000]red points[/color][/b]. How would you define a vertex? [br][br]The [b]edges[/b] are represented by the [b][color=#0000ff]blue segments[/color][/b]. How would you define an edge?[br][br]The [b]faces[/b] are represented by the shaded surfaces. The [b][color=#bf9000]yellow shaded surfaces[/color][/b] are faces, and the [b][color=#6aa84f]green shaded surfaces[/color][/b] are[b] bases[/b]. Bases are a specific type of face. How would you define faces and bases?[br][br]_____________________________________________________________________________________________________[br][br][b]Directions:[/b] Rotate each figure to view all of its vertices, edges, faces, and bases. To rotate the figures, make sure your mouse is next to the figure and not on it.
[size=85][b]Hint:[/b] The [b]faces[/b] of this pyramid (except the base) are all triangles, and they meet together at what looks like the “top” or “tip” of the pyramid. You can think of the [b]base[/b] as the face that is left out and does not get to meet up with all the others at one “tip” or vertex. Triangular pyramids are a special case that can technically have ANY face as their base.[/size][br][br][br]_____________________________________________________________________________________________________
Cones, cylinders, and spheres also contain [b]curved edges[/b] and [b]curved surfaces[/b]. [br][br][b]Curved edges[/b] will be represented by [b][color=#ff7700]orange[/color][/b] circles, and [b]curved surfaces[/b] will be represented by [b][color=#ff00ff]pink[/color][/b] bent or curved "faces." How would you define each of these in your own words?
[size=85][b]Hint:[/b] Does this figure look strange to you? What do you NOT see here that you do see in cylinders and cones? [/size]