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Polyhedrons

Presentation By: Hyuk Chan
What is a Polyhedron?


Definition from Math on Call:
A polyhedron is a 3-dimensional closed
figure with faces that are polygons.
What is a Prism?

Prisms are
polyhedrons with
at least two faces
that are congruent
and parallel
Prism
Vocabulary I will use during
      the the Presentation

            Face
       A flat surface of
                              Verticals
        a polyhedron
                           The corner points
                                                     t
                          where the line meets
                            in a Solid Figure                t
      Volume
Amount of space inside                           t
  of a area (Example:          Edge                      t
Cube’s volume= amount       A line where
 of space inside of the    t wo faces of a
         cube             Polyhedron meet
Cube
                         Net of a cube

To get volume the
volume for the cube.
You have to add
height, length and
width.

Equation=W x L X H
Just Incase


A net is a closed plane figure that can be
folded into a closed 3D figure
Rectangle prism
                            Net of a
To get the volume for   Rectangle prism
a rectangle prism. Do
the same thing as
you did for the cube.

Equation=Same as
a cube
Cylinder
Get the area of one of the
circles of a cylinder            Net of a
To get the volume of a circle,
                                 Cylinder
you have to multiply the
radios by the radios again

Then multiply the answer
you got that

Then multiply the height by
it

Equation=πr h2
Cone
                        Net for a Cone
The volume of a cone
is 1/3 the volume of
a cylinder with the
same base area and
height

Equation= 1/3πr h2
Sphere
Sphere is a little hard to explain.

It’s connected to a cylinder.

The sphere doesn’t fill the whole         Net of a Sphere
cylinder.

It only covers 2/3 of the volume of the
cylinder which has the same height
and the base area.

this is the equation to get volume of
the 2/3 of a cylinder

Equation=4/3πr              3
Now a Quiz
Instructions
Divide into 3 teams
I’ll give you the question
Write the answer on a whiteboard
put the answer up
The first group to put the answer up and
gets it right wins
Wins=Gets candy
Equation of a Cylinder is?
Equation of a Cylinder is?




      Equation=πr h
Equation of a Cylinder is?




      Equation=πr h
                  2
Why is the Equation for
         a Cone 1/3πr h?
                       2




     Hint
  πr h is the
equation for a
   cylinder
Why is the Equation for
         a Cone 1/3πr h?
                       2




     Hint
  πr h is the
equation for a
   cylinder
Why is the Equation for
         a Cone 1/3πr h?
                             2




     Hint
  πr h is the
equation for a
   cylinder
     It is because a volume of a cone is
       1/3 of the volume of a cylinder
        which has the same base and
                    height
Vocabulary Questions
Don’t worry. I
only have t wo
 vocabulary
   question      NET is a...
Vocabulary Questions
Don’t worry. I
only have t wo
 vocabulary
   question      NET is a...
       Closed plan figure that
       can be a folded in to a
          closed 3D figure
Draw a net of each
Figure I just talked
      about.
What is Polyhedron?
What is Polyhedron?


A polyhedron is a is a 3-dimensional
   closed figure with faces that are
              polygons.
Sources
http://dictionary.reference.com/browse/
parallel
Math on call, Pg. 393~422
http://math.about.com/od/formulas/ss/
surfaceareavol_2.htm
http://www.algebra.com/algebra/homework/
Volume/Volume-of-a-sphere.solver
http://www.google.com/imghp
Thank You
      For
  Watching
My Presentation

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Hyuk chan polyhedra

  • 2. What is a Polyhedron? Definition from Math on Call: A polyhedron is a 3-dimensional closed figure with faces that are polygons.
  • 3. What is a Prism? Prisms are polyhedrons with at least two faces that are congruent and parallel
  • 5. Vocabulary I will use during the the Presentation Face A flat surface of Verticals a polyhedron The corner points t where the line meets in a Solid Figure t Volume Amount of space inside t of a area (Example: Edge t Cube’s volume= amount A line where of space inside of the t wo faces of a cube Polyhedron meet
  • 6. Cube Net of a cube To get volume the volume for the cube. You have to add height, length and width. Equation=W x L X H
  • 7. Just Incase A net is a closed plane figure that can be folded into a closed 3D figure
  • 8. Rectangle prism Net of a To get the volume for Rectangle prism a rectangle prism. Do the same thing as you did for the cube. Equation=Same as a cube
  • 9. Cylinder Get the area of one of the circles of a cylinder Net of a To get the volume of a circle, Cylinder you have to multiply the radios by the radios again Then multiply the answer you got that Then multiply the height by it Equation=πr h2
  • 10. Cone Net for a Cone The volume of a cone is 1/3 the volume of a cylinder with the same base area and height Equation= 1/3πr h2
  • 11. Sphere Sphere is a little hard to explain. It’s connected to a cylinder. The sphere doesn’t fill the whole Net of a Sphere cylinder. It only covers 2/3 of the volume of the cylinder which has the same height and the base area. this is the equation to get volume of the 2/3 of a cylinder Equation=4/3πr 3
  • 12.
  • 14. Instructions Divide into 3 teams I’ll give you the question Write the answer on a whiteboard put the answer up The first group to put the answer up and gets it right wins Wins=Gets candy
  • 15. Equation of a Cylinder is?
  • 16. Equation of a Cylinder is? Equation=πr h
  • 17. Equation of a Cylinder is? Equation=πr h 2
  • 18. Why is the Equation for a Cone 1/3πr h? 2 Hint πr h is the equation for a cylinder
  • 19. Why is the Equation for a Cone 1/3πr h? 2 Hint πr h is the equation for a cylinder
  • 20. Why is the Equation for a Cone 1/3πr h? 2 Hint πr h is the equation for a cylinder It is because a volume of a cone is 1/3 of the volume of a cylinder which has the same base and height
  • 21. Vocabulary Questions Don’t worry. I only have t wo vocabulary question NET is a...
  • 22. Vocabulary Questions Don’t worry. I only have t wo vocabulary question NET is a... Closed plan figure that can be a folded in to a closed 3D figure
  • 23. Draw a net of each Figure I just talked about.
  • 25. What is Polyhedron? A polyhedron is a is a 3-dimensional closed figure with faces that are polygons.
  • 26. Sources http://dictionary.reference.com/browse/ parallel Math on call, Pg. 393~422 http://math.about.com/od/formulas/ss/ surfaceareavol_2.htm http://www.algebra.com/algebra/homework/ Volume/Volume-of-a-sphere.solver http://www.google.com/imghp
  • 27. Thank You For Watching My Presentation

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