Cutting Planes and Cross Sections in Module 10

 
Cutting Planes and Cross
Sections
 
Module 10
 
HigherEdServices.org
 
Session topics
 
Cutting planes
Cross Sections
Multiple Cross Sections
 
Cutting Planes
 
A cutting plane is an imaginary plane that
slices through an object
 
Cutting Plane
 
Cross-Section
 
Cutting Planes and Cross
Sections
 
A cross section is the
intersection of a
cutting plane with a
solid object.
The result is a 2-D
shape defined by
the boundaries of
the original object
 
Cross Sections
 
  The shape of the
resulting cross
section depends on
the orientation of
the cutting plane
with respect to the
object
 
Multiple Cross Sections
 
  Objects can
produce
several cross
sections
 
Cutting Planes
 
   As a plane cuts an
object, the boundary
edges on the cross
section that results
will be parallel to the
edges of the cutting
plane itself
Rotate the plane into
position to view it
"straight on"
 
Course Software...
 
Work through the Cutting Planes and Cross
Sections software module
 
Cutting Planes and Cross
Sections Homework …
 
Complete the following pages in Module 10
cp/cs-
1 - 2
5 - 6
9 - 10
13 - 16
Hint:  for pages 14 and 16 all problems
have at least two correct answers
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Explore the concept of cutting planes and cross sections in Module 10 of HigherEdServices.org. Learn how cutting planes create cross-sections of objects, producing 2-D shapes, and discover the varying shapes of cross-sections based on plane orientation. Work through software modules and homework to deepen your understanding of this fundamental geometric concept.


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  1. Cutting Planes and Cross Sections Module 10 HigherEdServices.org

  2. Session topics Cutting planes Cross Sections Multiple Cross Sections

  3. Cutting Planes A cutting plane is an imaginary plane that slices through an object Cutting Plane Cross-Section

  4. Cutting Planes and Cross Sections A cross section is the intersection of a cutting plane with a solid object. The result is a 2-D shape defined by the boundaries of the original object

  5. Cross Sections The shape of the resulting cross section depends on the orientation of the cutting plane with respect to the object

  6. Multiple Cross Sections Objects can produce several cross sections

  7. Cutting Planes As a plane cuts an object, the boundary edges on the cross section that results will be parallel to the edges of the cutting plane itself Rotate the plane into position to view it "straight on"

  8. Course Software... Work through the Cutting Planes and Cross Sections software module

  9. Cutting Planes and Cross Sections Homework Complete the following pages in Module 10 cp/cs- 1 - 2 5 - 6 9 - 10 13 - 16 Hint: for pages 14 and 16 all problems have at least two correct answers

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