Volume Jeopardy DefinitionsVolume Equations Applications Misc. I Misc. II 100 200 300 400 500 100...

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Volume Jeopardy Definitio ns Volume Equation s Applicatio ns Misc. I Misc. II 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Final Jeopardy Challenge

Transcript of Volume Jeopardy DefinitionsVolume Equations Applications Misc. I Misc. II 100 200 300 400 500 100...

Volume JeopardyDefinitions Volume

EquationsApplications Misc. I Misc. II

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Final Jeopardy Challenge

Definitions

The set of all points in space at a given distance from a

given point

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Definitions

A segment connecting the centers of the bases of a

cylinder

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Definitions

The perpendicular segment from the vertex of a cone to

it’s base

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Definitions

The term used for a measurement of mass/volume

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DefinitionsAll the faces of of this type of polyhedra are congruent and all the vertices are identical

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Equations

Rectangular Prism

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Equations

V =( ½ b h)(h)

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Cylinder

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Cone or Pyramid

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V = (1/2 pi r2) (h)

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Applications

The surface area of a sphere with a radius = 6 cm

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Applications

The surface area of a sphere if the volume of the sphere is

36 pi cm3

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Applications

A 30 pound object is submerged in water and

weighs 25 lbs. The amount of water that is displaced.

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Applications

The volume of a sphere with a radius r=6 cm.

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Applications

The density of a rectangular prism whose weight is 135 lbs

and dimensions

are 3’ X 3’ X 5’.

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MiscellaneousThe only platonic solid that is

it’s own dual.

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The sum of the interior angles of these types of solids add up to less than 360 degrees

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Miscellaneous

Two objects have congruent bases and height. Will they

always have the same volume?

A) Yes B) No

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Miscellaneous

A sphere of ice cream is placed onto your ice cream cone.

Both have a diameter of 8 cm. The height of the cone is 12cm. If you push the ice

cream into the cone will it all fit?

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Miscellaneous

The weight lost by an object in water is equal to the weight of

the water it displaces.

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Miscellaneous

A unit of measure for Volume:

A) in

B) in2

C) in3

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Miscellaneous

Compared to the volume of a cylinder, the volume of a cone with congruent bases and the

same height.

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The volume of a cylinder with a radius = 4 cm and h = 10 cm.

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Miscellaneous

An object weighs 20 pounds under water. It displaces 3

pounds of water. The original weight of the object.

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Miscellaneous

The dual of a cube

Click here for a hint…

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Final Jeopardy

Euler’s Formula for solids

relate: (V) vertices, (F) faces, (E) edges, and (g) genus