Cross Sections

1. Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms, right rectangular pyramids, cylinders, cones, and spheres.

2. Similar • In a prism, and at times in cylinders the shape is made by stacking several figures on top of each other that are ________________ . • If you stacked the same shape as the base, except that it isa little smaller • each time until they reached a point at the top, you will create what is known as a______________. • These pyramids are named according to the shape of their_________________ When we think of pyramids we think of the Great Pyramids of Egypt. They are actually Square Pyramids, because their base is a Square. Pyramid Base

3. Cross Sections A slice of any 3 dimensional figure with a plane creates a __________ Cross sections are either taken ______________ or ____________ to the base, but they can also be taken at a_____________. Cross Section Parallel Perpendicular Diagonal

4. Types of Cross Sections: If a shape is cut parallel, then the cross section looks just like the base. (Think a stack of cheese or a stack of CDs) If a shape is cut perpendicular to the base, then the cross section looks just like the lateral face. If the shape is cut diagonally, the cross section looks like a stretched out base.

5. Parallel Cross Section • Same Shape as the base base base Cross Section Cross Section

6. Perpendicular Cross Section • Same shape as lateral face

7. Cross Sections of a Cylinder: Parallel cut Perpendicular cut

8. Cross Section of a Rectangular Pyramid

9. Cross Section of a Triangular Prism

10. Cross Section of a Hexagonal/Pentagonal Prism

11. Cross Sections of a Cone

12. Cross Sections of a Sphere

13. Draw the 2-D Cross section for each 3-D Figure