Jeopardy
Prisms
Cylinders
Cones
Pyramids
Spheres
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$300
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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. 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.
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. 35,310.87 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