© David A. Occhino

With your host, … Mrs. McCumiskeyWith your host, … Mrs. McCumiskey

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Pyramids & Prisms

Pyramids & Prisms

Category 1

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ConesConesCategory 2

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CylindersCylinders

Category 3

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SpheresSpheres

Category 4

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Plane TheoremsPlane Theorems

Category 5

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Anything GoesAnything Goes

Category 6

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Pyramids & Prisms

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Game Board

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Cones Cylinders Spheres Plane Theorems

Anything Goes

Final Jeopardy

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Find the volume of the regular pyramid below:

Find the volume of the regular pyramid below:

$100

Cat 1: $100 Q

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213.3213.3

Board

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Which statement is always true when describing the characteristics of a prism?a) The lateral faces are congruentb) The edges are all congruentc) The lateral faces are paralleld) The lateral edges are congruent and

parallel

Which statement is always true when describing the characteristics of a prism?a) The lateral faces are congruentb) The edges are all congruentc) The lateral faces are paralleld) The lateral edges are congruent and

parallel

$200

Cat 1: $200 Q

© David A. Occhino

DD

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Cat 1: $200 A

Board

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Two prisms have equal volumes. The have equal altitudes. Which statement must also be true? a) The bases of one prism are congruent to the bases of the other

b) The bases of both prisms have the same areas

c) The lateral faces of the two prisms are congruent

d) The bases of one prism are similar to the bases of the other

Two prisms have equal volumes. The have equal altitudes. Which statement must also be true? a) The bases of one prism are congruent to the bases of the other

b) The bases of both prisms have the same areas

c) The lateral faces of the two prisms are congruent

d) The bases of one prism are similar to the bases of the other

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Cat 1: $300 Q

© David A. Occhino

BB

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Cat 1: $300 A

Board

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Find the volume of a regular pyramid if one side of the base measure 8cm slant height is 6cm. Round your answer to the nearest tenth.

Find the volume of a regular pyramid if one side of the base measure 8cm slant height is 6cm. Round your answer to the nearest tenth.

$400

Cat 1: $400 Q

© David A. Occhino

95.495.4

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Cat 1: $400 A

Board

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$500

Cat 1: $500 QFind the volume of the solid below:

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105105

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Board

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© David A. Occhino

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Board

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© David A. Occhino

201201

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Board

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© David A. Occhino

BB

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Board

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BB

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Board

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Find the lateral area of a cone if the diameter is 4 in and the height is 6 in. Round answer to nearest tenth.

Find the lateral area of a cone if the diameter is 4 in and the height is 6 in. Round answer to nearest tenth.

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Cat 2: $500 Q

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39.739.7

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Board

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© David A. Occhino

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Board

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Cat 3: $200 Q

© David A. Occhino

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Board

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A right circular cylinder has a volume of 1,000 cubic inches and a height of 8 inches. What is the radius of the cylinder to the nearest tenth of an inch?

A right circular cylinder has a volume of 1,000 cubic inches and a height of 8 inches. What is the radius of the cylinder to the nearest tenth of an inch?

$300Cat 3: $300 Q

© David A. Occhino

6.36.3

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Board

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A right circular cylinder has an altitude of 11 feet and a radius of 5 feet. What is the lateral area, in square feet, of the cylinder, to the nearest tenth?

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345.6345.6

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Board

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Cat 3: $400 QThe volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm. Find the radius of the cylinder to the nearest tenth of a centimeter.

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Board

22.4

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© David A. Occhino

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Board

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Find the volume of a sphere if the radius is 8 in. Round your answer to the nearest tenth.

Find the volume of a sphere if the radius is 8 in. Round your answer to the nearest tenth.

$200

Cat 4: $200 Q

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2144.72144.7

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Board

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What would the value of the radius have to be in order for the volume and surface area of a sphere to be equal?

What would the value of the radius have to be in order for the volume and surface area of a sphere to be equal?

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Cat 4: $300 Q

© David A. Occhino

33

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A sphere has a radius of 9 cm. Find the surface area and volume of the sphere. Round your answer to the nearest centimeter.

A sphere has a radius of 9 cm. Find the surface area and volume of the sphere. Round your answer to the nearest centimeter.

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© David A. Occhino

SA = 1018 cm2

V = 3054 cm3

SA = 1018 cm2

V = 3054 cm3

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Cat 4: $400 A

Board

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44

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Cat 5: $100 QIn three-dimensional space, two planes are parallel and a third plane intersects both of the parallel planes. The intersection of the planes is a

(a) plane (c) pair of parallel lines(b) point (d) pair of intersecting lines

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Board

C

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In the diagram below, line k is perpendicular to plane P at point T. Which statement is true?(a) Any point in plane P also will be on line k.(b) Only one line in plane P will intersect line k.(c) All planes that intersect plane P will pass through T.(d) Any plane containing line k is perpendicular to plane P .

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DD

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Line n and line m are coplanar and intersect at point A. Line r is perpendicular to both lines n and m at A. Describe the relationship between lines n, m, and r.

a)Line r is parallel to the plane formed by lines n and m.

b)Line r is perpendicular to the plane formed by lines n and m.

c)A right triangle is formed by lines m, n, and r.

d)All the intersections of lines n, m, and r form right angles.

Line n and line m are coplanar and intersect at point A. Line r is perpendicular to both lines n and m at A. Describe the relationship between lines n, m, and r.

a)Line r is parallel to the plane formed by lines n and m.

b)Line r is perpendicular to the plane formed by lines n and m.

c)A right triangle is formed by lines m, n, and r.

d)All the intersections of lines n, m, and r form right angles.

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Cat 5: $300 Q

© David A. Occhino

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Cat 5: $300 A

Board

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Line m is perpendicular to plane A. How many planes can contain line m and also be perpendicular to plane A? 

a.) 1b.) 2c.)0d.) An infinite number

Line m is perpendicular to plane A. How many planes can contain line m and also be perpendicular to plane A? 

a.) 1b.) 2c.)0d.) An infinite number

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© David A. Occhino

DD

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Board

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Given line segment in plane M and point C, not on plane m. How many planes pass through both and through point C that are perpendicular to ? 

a.) 1b.) 2c.) 0d.) An infinite number

Given line segment in plane M and point C, not on plane m. How many planes pass through both and through point C that are perpendicular to ? 

a.) 1b.) 2c.) 0d.) An infinite number

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© David A. Occhino

AA

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Tim is going to paint a wooden sphere that has a diameter of 12 inches. Find the surface area of the sphere, to the nearest square inch.

© David A. Occhino

452452

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33

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11

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© David A. Occhino

AA

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© David A. Occhino

2.62.6

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