Cross sections
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Transcript of Cross sections
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Cross SectionsSWBAT: 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.
+ 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
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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
+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.
+Parallel Cross SectionSame Shape as the base
base base
Cross Section Cross Section
+Perpendicular Cross Section
Same shape as lateral face
+Cross Sections of a Cylinder:
Parallel cut Perpendicular cut
+Cross Section of a Rectangular Pyramid
+Cross Section of a Triangular Prism
+Cross Section of a Hexagonal/Pentagonal Prism
+Cross Sections of a Cone
+Cross Sections of a Sphere
+Shape Vertical Cross
Section Horizontal Cross Section
Diagonal Cross Section
Draw the 2-D Cross section for each 3-D Figure
+Shape Vertical Cross Section
Horizontal Cross Section
Diagonal Cross Section