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400 600 800 1000 200 Prisms 200 400 600 800 1000 Cylinders 200 400 600 800 1000 Pyramids 200 400 600 800 1000 Cones 200 400 600 800 1000 Spheres 200 400 600 800 1000 Multipli- cation Final Jeopardy

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Prisms – 200pts Find the volume of a right rectangular prism with a length of 3m, a width of 4m, and a height of 7m.

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Prisms – 200pts 84m 3

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Prisms – 400pts Find the lateral area and surface area of a right rectangular prism with length of 5m, width of 3m, and height of 8m.

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Prisms – 400pts LA = 128m 2 SA = 158m 2

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Prisms – 600pts Find the surface area of the right triangular prism. The base of the prism is a right triangle. 7 24 17

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Prisms – 600pts 1120 unit 2

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Prisms – 800pts Find the volume of the right triangular prism. The base of the prism is a right triangle. 7 24 17

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Prisms – 800pts 1428 unit 3

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Prisms – 1000pts The volume of a cube is 5832m 3. a. Find the length of one edge. b. Find its surface area.

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Prisms – 1000pts a. 18 m b. 1944 m 2

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Cylinders – 200pts Find the volume of a right cylinder with a base of radius 3in and a height of 5in.

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Cylinders – 200pts 45 in 3 141.37 in 3

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Find the lateral area and surface area of the right cylinder. Cylinders – 400pts 6 10

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Cylinders – 400pts LA = 120 unit 2 377 unit 2 SA = 192 unit 2 603.2 unit 2

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Cylinders – 600pts Find the volume of the right cylinder. 7 12

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Cylinders – 600pts 588 unit 3 1847.26 unit 3

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Cylinders – 800pts A cylindrical tank needs painting. Its diameter is 30m and its height is 40m. It sits on its base so the bottom will not be painted. We need to put on 2 coats of paint and a gallon covers 50m 2. a. Find the area of the surface to be painted. b. Find the number of gallons of paint needed.

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Cylinders – 800pts a. 1425 m 2 4476.8 m 2 b. 180 gallons

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Cylinders – 1000pts A cylindrically shaped massive piece of marshmallow is to be covered with chocolate. The marshmallow has a radius of 4 inches and a height of 12 inches. If all surfaces are to be covered with a 1 inch layer of chocolate, how much chocolate is to be used? 4 12

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Cylinders – 1000pts 158 in 3 496.4in 3

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Pyramids – 200pts Find the volume of a right square pyramid with base of length 8m and height of 5m.

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Pyramids – 200pts 106.67m 3

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Pyramids – 400pts Find the lateral area and surface area of a right square pyramid with base length of 5m and height of 8m.

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Pyramids – 400pts LA = 83.8m 2 SA = 108.8m 2

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Pyramids – 600pts Find the volume of the right triangular pyramid. The base of the pyramid is a right triangle. 7 25 13

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Pyramids – 600pts 364unit 3

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Pyramids – 800pts Find the lateral area and surface area of a right square pyramid. The base is a square. 10 12

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Pyramids – 800pts LA = 260 unit 2 SA = 360 unit 2

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Pyramids – 1000pts The lateral area of a right square pyramid is 260ft 2. The slant height is 13ft. a. Find the perimeter of the base. b. If the base is a square, find the length of one side of the base. c. Find the height (altitude). d. Find the volume. Hint: draw a picture and add measurements as you do the calculations.

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Pyramids – 1000pts a. 40ft b. 10ft c. 12ft d. 400ft 2

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Cones – 200pts Find the volume of a right cone with a base of diameter 8m and height of 5m.

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Cones – 200pts 26.67 m 3 83.78 m 3

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Cones – 400pts Find the lateral area and surface area of the right cone. 7 24

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Cones – 400pts LA = 175 unit 2 549.8 unit 2 SA = 224 unit 2 703.7 unit 2

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Cones – 600pts Find the volume of the cone. 13 10

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Cones – 600pts 100 unit 3 314.2 unit 3

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Cones – 800pts How much paper is needed to make this water cup? 20cm 10cm

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Cones – 800pts 100 unit 2 314.2 unit 2

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Cones – 1000pts The lateral area of a right cone is 60 m 2. The slant height is 10m. a. Find the perimeter of the base. b. If the base is a circle, find the radius. c. Find the height (altitude). d. Find the volume. Hint: draw a picture and add measurements as you do the calculations.

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Cones – 1000pts a. 12 m 37.7m b. 6m c. 8m d. 96 m 301.6m

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Spheres – 200pts Find the surface area of a sphere with a diameter of 18m 18m

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Spheres – 200pts 324 m 2 1017.9m 2

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Spheres – 400pts Find the volume of a sphere with a diameter of 10in. 10in

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Spheres – 400pts 166.7 in 2 523.6in 2

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Spheres – 600pts A sphere has a surface area of 1000cm 2. a. Find the radius of the sphere. b. Find the volume of the sphere. R

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Spheres – 600pts a. 8.92cm b. 2973.5cm 3

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Spheres – 800pts A sphere has a volume of 1500cm 2. a. Find the radius of the sphere. b. Find the surface area of the sphere. R

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Spheres – 800pts a. 7.1m b. 633.7m 2

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Spheres – 1000pts Superman circles the earth at its equator and flies a distance of 37700km. He flies in a circular path very close to the Earth’s surface. a. Find the radius of the earth. b. Find the Earth’s surface area. c. Find the Earth’s volume. R

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Spheres – 1000pts a. 6000km b. 144,000,000 km 2 452,389,342km 2 c. 2.88x10 11 km 3 9.05x10 11 km 3

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Multiplication – 200pts Expand (x - 2)(x + 4) and provide the most simplified answer.

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Multiplication – 200pts x 2 + 2x - 8

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Multiplication – 400pts Find the area of the rectangle and provide the most simplified answer. x y 2 3

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Multiplication – 400pts xy +3y + 2x + 6

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Multiplication – 600pts A box has a volume of 400m 3. a. If its length is tripled, what is its new volume? b. If its length is tripled and its width is doubled, what is its new volume? c. If its length is tripled, its width is doubled and its height is quadrupled, what is its new volume?

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Multiplication – 600pts a. 1200m 3 b. 2400m 3 c. 9600m 3

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Multiplication – 800pts A cube originally has sides of length x. Four is added to its length, three is added to its width and 2 is added to its height. Find the volume of the new box. Provide the most simplified answer.

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Multiplication – 800pts x 3 + 9x 2 + 26x + 24

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Multiplication – 1000pts Set up and find the volume of the box. Provide the most simplified answer. y 2 x 3 z 7

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Multiplication – 1000pts xyz + 7xy + 3yz + 21y + 2xz + 14x + 6z + 42

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Final Jeopardy

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A double decker ice cream cone is made for one very hungry geometry teacher. It consists of a cone filled with elephant tracks with a scoop of vanilla bean on top and a scoop of mint chip on top of that. What is the volume of ice cream used? Final Jeopardy Height = 5in Diameter = 2in Diameter = 1.5in

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Final Jeopardy 9.10 in 3

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