# Rotation of 2D Shapes to Create Solids

Goal: Create and/or Identify three-dimensional objects that are generated by rotations of two-dimensional objects.
HS.G-GMD.4 (part 2) Building shapes by rotation

Learning Objective: Students will be able to create a 2D shape, locate a center and axis of rotation and create a 3D shape. Using the cross section tool, they will be able to identify the base shape.

Materials: Trimble SketchUp

1. Duplicate the solids shown in the examples below using the follow-me tool.
Use the section tool to investigate the new shape that is formed.
2. Create three different solids by rotation of a polygon or circle and present to your peers.
See if they can discover recreate your shape.
3. Create a video of how you created your shape.

Example 1. Construct a Barrel

The blue line is the axis of rotation and the origin is the center.
If you rotate the hexagon around the given circle, what shape will result?

Here are a few more graphics to consider:
 3D rotated hexagon

 3D cross section of a rotated hexagon

June 2014 - Updated