Rotate 2D shapes to make 3D objects

The  exercise appears under the Geometry Math Mission. This exercise helps visualize three-dimensional information from two-dimensional objects.

Types of Problems
There is one type of problem in this exercise:


 * 1) Describe the shape that will result: This problem describes a two-dimensional geometric object that is to be rotated around a line. The student is asked to select the multiple choice option that most closely describes what the resulting solid will look like. R2dstm3do1.png

Strategies
Solid geometry reasoning skills are encouraged to ensure success on this exercise.
 * 1) Circular shapes can be rotated to make spheres and hemispheres (though these are called semispheres on the exercise).
 * 2) Rectangles can be rotated to make cylinders.
 * 3) Triangles can be rotated to make cones.
 * 4) Having a cardboard cut-out close by may help to increase accuracy and efficiency on this exercise and ensure that heights and radii are correctly determined.

Real-life Applications

 * 1) Finding volumes by rotating shapes about straight lines is an integral calculus techniques that relies on being able to visualize cross sections of three-dimensional objects.