Jeopardy Final Jeopardy Prisms Cylinders Cones Pyramids Spheres $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy

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? 900,000 ft3

1 - $200 A large skateboard ramp is shown. Find the volume of the triangular prism. 140 ft3

1 - $300 What is the volume of the A-frame tent shown? 48 ft3

1 - $400 Darcy built the dollhouse shown. A. 9000 in3; B. 3600 in3 A. What is the volume of the first floor? B. What is the volume of the attic space? A. 9000 in3; B. 3600 in3

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. 118.35 cm3

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? 2,034.7 in3

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? 2256.875 cm3

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. 1356.5 in3

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? 388.575 in3

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. 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. 35,310.87 in3; B. 4,720.70 gallons

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? 15.9 m3

3 - $200 Student Council is selling popcorn in cones like the one shown. What is the volume of the cone? 65.94 in3

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? 24,531,250 m3

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. 3.14 ft3

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. 5.02 in3

4 - $100 The start of the pyramid age began with King Zoser’s pyramid, erected in the 27th 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. 341,413.33 m3

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? 5,400 yd3

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? 5 ft3

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? Volume is doubled.

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? Volume quadruples.

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. 523.33 cm3

5 - $200 Assume that a balloon is spherical shaped. If you have a balloon with a radius of 3 cm, what’s the volume? 113.04 cm3

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. 25 in3

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? 333 in3

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. 4.19 in3

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? 4.86 cm3