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