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Cross Sections

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Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms, right ... – PowerPoint PPT presentation

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Title: 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


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