Cross sections are two-dimensional figures created by slicing three-dimensional objects with a plane. Parallel cross sections have the same shape as the base, perpendicular cross sections have the shape of the lateral face, and diagonal cross sections are stretched versions of the base. The document discusses cross sections of prisms, pyramids, cylinders, cones, and spheres.

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. + 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 is a
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.
Similar
Base
Pyramid

3. +
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 Sections
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. +Shape Vertical Cross
Section
Horizontal Cross
Section
Diagonal Cross
Section
Draw the 2-D Cross section for each 3-D Figure

14. +Shape Vertical Cross
Section
Horizontal Cross
Section
Diagonal Cross
Section