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

• 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
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
Shape Vertical Cross Section Horizontal Cross Section Diagonal Cross Section



14
Shape Vertical Cross Section Horizontal Cross Section Diagonal Cross Section