Introduction VideoCross Sections https wwwyoutubecomwatchvhlDj3AtxGs Cornell Notes TopicCross Sections EQ How do I determine the Cross section of a given shape Bell Ringer Bell Ringer Answer ID: 911832
Download Presentation The PPT/PDF document "02.19.2018 Agenda Bell ringer" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
02.19.2018
Agenda
Bell ringerIntroduction Video-Cross Sections https://www.youtube.com/watch?v=hlD_j3AtxGs Cornell NotesTopic-Cross SectionsE.Q. How do I determine the Cross section of a given shape?
Bell Ringer
Slide2Bell Ringer Answer
(8/2)*(9-3) = 24
(9-2*3)*8 = 24
Slide3Cross Sections of Three-Dimensional Figures
Return to table
of contents
Slide43-Dimensional figures can be cut by planes. When you cut a 3-D figure by a plane, the result is a 2-D figure.
The cross-sections of 3-D figures are 2 dimensional figures you are familiar with.
Look at the example on the next page to help your understanding.
Slide5Vocabulary
A
polyhedron is a three-dimensional solid with flat surfaces and straight edges.Each polygon is a face of the polyhedron.
An edge is a segment that is formed by the intersection of two faces.
A
vertex
is a point where three or more edges intersect.
A
net is a two-dimensional pattern that you can fold to form a three-dimensional figure. One of the simplest such figures is a
cube — a polyhedron with six faces, each of which is a square.
Slide6Vocabulary
Prisms:
polyhedron with 2 congruent and parallel faces called bases.Pyramid: polyhedron in which 1 face is a polygon and the others are triangles…comes to a point at the top.
Cylinder: 3D figure with 2 congruent & parallel bases that are circles
Cone:
has 1 circular base and comes to a point at top
Cross Sections
A
cross section is the shape formed when a plane intersects a 3D figure.Think of a very thin
slice of the solid.
The
bases
are opposite faces that are parallel and congruent.
To describe the
relationship between the plane and the solid, it will be either:Parallel to the base or
Perpendicular to the base
Cross-Sections can be polygons and circlesTell the shape it makes when you cut the solid
Slide8A horizontal cross-section of a cone is a circle.
Can you describe a vertical cross-section of a cone?
Slide9A vertical cross-section of a cone is a triangle.
Slide10A water tower is built in the shape of a cylinder.
How does the horizontal cross-section compare to the vertical cross-section?
Slide11The horizontal cross-section is a circle.
The vertical cross-section is a rectangle
Slide129
Which figure has the same horizontal and vertical cross-sections?
A
B
C
D
Slide1310
Which figure does not have a triangle as one of its cross-sections?
A
B
C
D
Slide1411
Which is the vertical cross-section of the figure shown?
A
Triangle
B
Circle
C
Square
D
Trapezoid
Slide1512
Which is the horizontal cross-section of the figure shown?
A
Triangle
B
Circle
C
Square
D
Trapezoid
Slide1613
Which is the vertical cross-section of the figure shown?
A
Triangle
B
Circle
C
Square
D
Trapezoid
Slide17Reference
www.summithill.org/.../Cross-Sectionsof3DFigures_12_4_2013_9_46_10_AM.ppt
www.enetlearning.org/wp-content/uploads/.../2a.-Notes-Nets-and-Cross-Sections.ppt