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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
$100 $100
$200 $200
$300 $300
$400 $400
$500 $500
Game Board
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$300
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$500
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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
$100
Cat 1: $100 A
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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
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DD
$200
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
$300
Cat 1: $300 Q
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BB
$300
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
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95.495.4
$400
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
$500
Cat 1: $500 A
Board
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$100
Cat 2: $100 Q
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$100
Cat 2: $100 A
Board
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$200
Cat 2: $200 Q
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201201
$200
Cat 2: $200 A
Board
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$300
Cat 2: $300 Q
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BB
$300
Cat 2: $300 A
Board
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$400
Cat 2: $400 Q
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BB
$400
Cat 2: $400 A
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.
$500
Cat 2: $500 Q
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39.739.7
$500
Cat 2: $500 A
Board
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$100
Cat 3: $100 Q
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$100
Cat 3: $100 A
Board
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$200
Cat 3: $200 Q
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$200
Cat 3: $200 A
Board
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© David A. Occhino
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
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6.36.3
$300
Cat 3: $300 A
Board
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$400
Cat 3: $500 Q
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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$500
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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$500
Cat 3: $400 A
Board
22.4
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$100
Cat 4: $100 Q
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Cat 4: $100 A
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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Cat 4: $200 A
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?
$300
Cat 4: $300 Q
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33
$300
Cat 4: $300 A
Board
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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.
$400
Cat 4: $400 Q
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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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$500
Cat 4: $500 Q
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44
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$100
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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Cat 5: $100 A
Board
C
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$200
Cat 5: $200 Q
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
$200
Cat 5: $200 A
Board
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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.
$300
Cat 5: $300 Q
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$300
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
$400
Cat 5: $400 Q
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DD
$400
Cat 5: $400 A
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
$500
Cat 5: $500 Q
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AA
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Cat 5: $500 A
Board
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$100
Cat 6: $100 Q
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.
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© David A. Occhino
452452
$100
Cat 6: $100 A
Board
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$200
Cat 6: $200 Q
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33
$200
Cat 6: $200 A
Board
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$300
Cat 6: $300 Q
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11
$300
Cat 6: $300 A
Board
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$400
Cat 6: $400 Q
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© David A. Occhino
AA
$400
Cat 6: $400 A
Board
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$500
Cat 6: $500 Q
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2.62.6
$500
Cat 6: $500 A
Board
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