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

2. 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

3. 1 - $200
A large skateboard ramp is shown. Find the volume of the triangular prism.
140 ft3

4. 1 - $300
What is the volume of the A-frame tent shown?
48 ft3

5. 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 in3; B in3

6. 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.
cm3

7. 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

8. 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?
cm3

9. 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.
in3

10. 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?
in3

11. 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, in3; B. 4, gallons

12. 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

13. 3 - $200
Student Council is selling popcorn in cones like the one shown. What is the volume of the cone?
65.94 in3

14. 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

15. 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

16. 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

17. 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, m3

18. 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

19. 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

20. 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.

21. 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.

22. 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.
cm3

23. 5 - $200
Assume that a balloon is spherical shaped. If you have a balloon with a radius of 3 cm, what’s the volume?
cm3

24. 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

25. 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

26. 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

27. 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