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

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Presentation transcript:

Volume Jeopardy DefinitionsVolume Equations Applications Misc. I Misc. II Final Jeopardy Challenge

Definitions The set of all points in space at a given distance from a given point 100

Definitions A segment connecting the centers of the bases of a cylinder 200

Definitions The perpendicular segment from the vertex of a cone to it’s base 300

Definitions The term used for a measurement of mass/volume 400

Definitions All the faces of of this type of polyhedra are congruent and all the vertices are identical 500

Equations Rectangular Prism 100

Equations V =( ½ b h)(h) 200

Equations Cylinder 300

Equations Cone or Pyramid 400

Equations V = (1/2 pi r 2 ) (h) 500

Applications The surface area of a sphere with a radius = 6 cm 100

Applications The surface area of a sphere if the volume of the sphere is 36 pi cm 3 200

Applications A 30 pound object is submerged in water and weighs 25 lbs. The amount of water that is displaced. 300

Applications The volume of a sphere with a radius r=6 cm. 400

Applications The density of a rectangular prism whose weight is 135 lbs and dimensions are 3’ X 3’ X 5’. 500

Miscellaneous The only platonic solid that is it’s own dual. 100

Miscellaneous The sum of the interior angles of these types of solids add up to less than 360 degrees 200

Miscellaneous Two objects have congruent bases and height. Will they always have the same volume? A) Yes B) No 300

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? 400

Miscellaneou s The weight lost by an object in water is equal to the weight of the water it displaces. 500

Miscellaneous A unit of measure for Volume: A) in B) in 2 C) in 3 100

Miscellaneous Compared to the volume of a cylinder, the volume of a cone with congruent bases and the same height. 200

Miscellaneous The volume of a cylinder with a radius = 4 cm and h = 10 cm. 300

Miscellaneous An object weighs 20 pounds under water. It displaces 3 pounds of water. The original weight of the object. 400

Miscellaneous The dual of a cube Click here for a hint… 500

Final Jeopardy Euler’s Formula for solids relate: (V) vertices, (F) faces, (E) edges, and (g) genus