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Jeopardy $100 PrismsCylindersConesPyramidsSpheres $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 Final Jeopardy Final Jeopardy

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1 - $100 Construction workers are digging a tunnel through a mountain. The space inside the tunnel is going to be shaped like a rectangular prism. The mouth of the tunnel will be a rectangle 20 feet high and 50 feet wide and the length of the tunnel will be 900 feet. What will the volume of the tunnel be? Construction workers are digging a tunnel through a mountain. The space inside the tunnel is going to be shaped like a rectangular prism. The mouth of the tunnel will be a rectangle 20 feet high and 50 feet wide and the length of the tunnel will be 900 feet. What will the volume of the tunnel be? 900,000 ft 3 900,000 ft 3

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1 - $200 A large skateboard ramp is shown. Find the volume of the triangular prism. A large skateboard ramp is shown. Find the volume of the triangular prism. 140 ft ft 3

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1 - $300 What is the volume of the A-frame tent shown? What is the volume of the A-frame tent shown? 48 ft 3 48 ft 3

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1 - $400 Darcy built the dollhouse shown. Darcy built the dollhouse shown. –A. What is the volume of the first floor? –B. What is the volume of the attic space? A in 3 ; B in 3 A in 3 ; B in 3

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1 - $500 A pentagonal prism is a prism that has bases that are pentagons. Use V = Bh where B is the area of the base, to find the volume of the pentagonal prism below. A pentagonal prism is a prism that has bases that are pentagons. Use V = Bh where B is the area of the base, to find the volume of the pentagonal prism below cm cm 3

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2 - $100 The Meyer family uses a kitchen trash can shaped like a cylinder. It has a height of 18 inches and a base of 12 inches. What is the volume of the trash can? Round your answer to the nearest tenth of a cubic inch? The Meyer family uses a kitchen trash can shaped like a cylinder. It has a height of 18 inches and a base of 12 inches. What is the volume of the trash can? Round your answer to the nearest tenth of a cubic inch? 2,034.7 in 3 2,034.7 in 3

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2 - $200 A cake pan is in the shape of a cylinder. The radius is 12.5 centimeters and the height is 4.6 centimeters. What is the volume of the cake pan? A cake pan is in the shape of a cylinder. The radius is 12.5 centimeters and the height is 4.6 centimeters. What is the volume of the cake pan? cm cm 3

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2 - $300 Tionna wants to determine the maximum capacity of a cylindrical bucket that has a radius of 6 inches and a height of 12 inches. What is the capacity of Tionna’s bucket? Round to the nearest tenth. Tionna wants to determine the maximum capacity of a cylindrical bucket that has a radius of 6 inches and a height of 12 inches. What is the capacity of Tionna’s bucket? Round to the nearest tenth in in 3

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2 - $400 You are putting the salsa in cylinder jars with a diameter of 3 inches and a height of 5.5 inches. What is the volume of 10 jars? You are putting the salsa in cylinder jars with a diameter of 3 inches and a height of 5.5 inches. What is the volume of 10 jars? in in 3

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2 - $500 Mr. Gutierrez purchased a cylindrical aquarium for his office. The aquarium has a height of 25 ½ inches and a radius of 21 inches. Mr. Gutierrez purchased a cylindrical aquarium for his office. The aquarium has a height of 25 ½ inches and a radius of 21 inches. A.What is the volume of the aquarium in cubic feet? B. If there are 7.48 gallons in a cubic foot, how many gallons of water does the aquarium hold? A. 35, in 3 ; B. 4, gallons A. 35, in 3 ; B. 4, gallons

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3 - $100 Mr. Ganty built a conical storage shed. The base of the shed is 4 meters in diameter and the height of the shed is 3.8 meters. What is the volume of the shed? Mr. Ganty built a conical storage shed. The base of the shed is 4 meters in diameter and the height of the shed is 3.8 meters. What is the volume of the shed? 15.9 m m 3

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3 - $200 Student Council is selling popcorn in cones like the one shown. What is the volume of the cone? Student Council is selling popcorn in cones like the one shown. What is the volume of the cone? in in 3

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3 - $300 A cone-shaped volcano to Russia has a height of 1,500 meters and a diameter of 250 meters. What is the volume of the volcano? A cone-shaped volcano to Russia has a height of 1,500 meters and a diameter of 250 meters. What is the volume of the volcano? 24,531,250 m 3 24,531,250 m 3

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3 - $400 A sculptor wants to remove stone from a cylindrical block 3 feet high and turn it into a cone. The diameter of the base of the cone and cylinder is 2 feet. What is the volume of the stone that the sculptor must remove? Round your answer to the nearest hundredth. A sculptor wants to remove stone from a cylindrical block 3 feet high and turn it into a cone. The diameter of the base of the cone and cylinder is 2 feet. What is the volume of the stone that the sculptor must remove? Round your answer to the nearest hundredth ft ft 3

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3 - $500 The part of a dish designed for ice cream is shaped like an upside-down cone. The base of the cone has a radius of 2 inches and the height is 1.2 inches. What is the volume of the cone? Round your answer to the nearest hundredth. The part of a dish designed for ice cream is shaped like an upside-down cone. The base of the cone has a radius of 2 inches and the height is 1.2 inches. What is the volume of the cone? Round your answer to the nearest hundredth in in 3

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4 - $100 The start of the pyramid age began with King Zoser’s pyramid, erected in the 27 th century B.C. In its original state, it stood 62 meters high with a rectangular base that measured 140 meters by 118 meters. Find the volume of the original pyramid. The start of the pyramid age began with King Zoser’s pyramid, erected in the 27 th century B.C. In its original state, it stood 62 meters high with a rectangular base that measured 140 meters by 118 meters. Find the volume of the original pyramid. 341, m 3 341, m 3

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4 - $200 A greenhouse has the shape of a square pyramid. The base has a side length of 30 yards. The height of the green house is 18 yards. What is the volume of the greenhouse? A greenhouse has the shape of a square pyramid. The base has a side length of 30 yards. The height of the green house is 18 yards. What is the volume of the greenhouse? 5,400 yd 3 5,400 yd 3

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4 - $300 Ayita and her sister used sand to make a rectangular pyramid. The base had a length of 3 feet and a width of 2 feet. The height of the pyramid was 2.5 feet. How much sand was used to make the pyramid? Ayita and her sister used sand to make a rectangular pyramid. The base had a length of 3 feet and a width of 2 feet. The height of the pyramid was 2.5 feet. How much sand was used to make the pyramid? 5 ft 3 5 ft 3

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4 - $400 Draw a pyramid that has a height of 8 feet and a square base with a side length of 6 feet. How does the volume of the pyramid change if the base stays the same and the height is doubled? Draw a pyramid that has a height of 8 feet and a square base with a side length of 6 feet. How does the volume of the pyramid change if the base stays the same and the height is doubled? Volume is doubled. Volume is doubled.

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4 - $500 Draw a pyramid that has a height of 8 feet and a square base with a side length of 6 feet. How does the volume of the pyramid change if the height stays the same and the side length is doubled? Draw a pyramid that has a height of 8 feet and a square base with a side length of 6 feet. How does the volume of the pyramid change if the height stays the same and the side length is doubled? Volume quadruples. Volume quadruples.

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5 - $100 A rounded cup of tea has an opening shaped like a sphere. The radius is 5 cm. Find the volume of the cup. A rounded cup of tea has an opening shaped like a sphere. The radius is 5 cm. Find the volume of the cup cm cm 3

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5 - $200 Assume that a balloon is spherical shaped. If you have a balloon with a radius of 3 cm, what’s the volume? Assume that a balloon is spherical shaped. If you have a balloon with a radius of 3 cm, what’s the volume? cm cm 3

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5 - $300 Tennis balls have a diameter of 2.5 in. A can holds three balls and has the shape of a cylinder. Find the total volume of the tennis balls to the nearest whole cubic unit. Tennis balls have a diameter of 2.5 in. A can holds three balls and has the shape of a cylinder. Find the total volume of the tennis balls to the nearest whole cubic unit. 25 in 3 25 in 3

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5 - $400 A bowling ball is required to have a radius of no more than 4.3 inches and a weight of no more than 16 pounds. To the nearest cubic inch, what is the volume of a bowling ball with radius 4.3 inches? A bowling ball is required to have a radius of no more than 4.3 inches and a weight of no more than 16 pounds. To the nearest cubic inch, what is the volume of a bowling ball with radius 4.3 inches? 333 in in 3

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5 - $500 Marcus builds a sphere inside of a cube. The sphere fits snugly inside the cube so that the sphere touches the cube at one point on each side. The side length of the cube is 2 inches. Determine the volume of the sphere. Marcus builds a sphere inside of a cube. The sphere fits snugly inside the cube so that the sphere touches the cube at one point on each side. The side length of the cube is 2 inches. Determine the volume of the sphere in in 3

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Final Jeopardy A pencil grip is shaped like a triangular prism with a cylinder removed from the middle. The base of the prism is a right isosceles triangle with leg lengths of 2 centimeters. The diameter of the base of the removed cylinder is 1 centimeter. The heights of the prism and the cylinder are the same, and equal to 4 centimeters. What is the exact volume of the pencil grip? A pencil grip is shaped like a triangular prism with a cylinder removed from the middle. The base of the prism is a right isosceles triangle with leg lengths of 2 centimeters. The diameter of the base of the removed cylinder is 1 centimeter. The heights of the prism and the cylinder are the same, and equal to 4 centimeters. What is the exact volume of the pencil grip? 4.86 cm cm 3

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