Click on the link Geometry Cross Sections. In previous sections, you investigated cross sections and slices of prisms. A cube is a special type of right rectangular prism in which all edge lengths are congruent, and all faces are congruent.
Click on the link Geometry Cross Sections.
Follow the directions on the activity, including the interactive sketch. In this activity, slices of a cube are represented as physical slices through the object. Thinking about slices as a “cut” through the object is one way to think about cross sections and slices of 3-dimensional figures.
Record your responses to Problems C1, C2, C3, and C4 in your notes. When you have completed Problem C4, return to this resource to summarize your findings in your Math Journal.
What patterns do you see in the slices and cross sections of cubes? What symmetries do you observe in the slices and cross sections of cubes?
How do those patterns compare to those that you observed for prisms?
Another way to represent cross sections of solids is to think about them in terms of shadows that are cast when light is shined on a 3-dimensional figure from one direction.
Click on the link Geometry Cross Sections.
Work through Problems C5, C6, and C7. Record your responses in your notes.