Unit 2 Test - Circumference, Area, and Volume
Find the volume of the solid.
1. Be careful! The shape is not sitting on its base.
2.
3.
4.
5.
The Kona Ice Truck will make one last stop at HMS this week. If you bought a snowcone that came in a
paper cone that was 4 inches tall and had a diameter of 3.5 inches. The round part at the top is a half sphere
that has a diameter of 3.5 inches as well. What is the total volume of the “ice” in your frosty treat?
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6. A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width of 10 inches, and
a height of 1 inch. What is the volume of the laptop?
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7. A giant Hershey Kiss is in the shape of a cone. The diameter is 2 inches and the height is 4 inches. The
chocolate kiss sells for $12.95. A chocolate sphere has a diameter of 3 cm and sells for $15. Which
chocolate treat is the better buy? Explain why?
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8. The volume of a cone is
cubic inches. What is the volume of a cylinder having the same base and same
height? Explain your reasoning. Think about the formulas!
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9. A circular pond is 63 yards across. How many yards of fencing would you need to surround the pond?
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The PTSO is going to cover giant cardboard circles with orange cloth to make “pumpkins” to hang
from the ceiling during the Halloween dance. How much cloth will be needed to cover 10
“pumpkins”?.
10.
Carboard circle to make the pumpkins.
Find how much green contact paper will be needed to cover the hat box below to turn it in to the head
of Frankenstein for the Halloween Dance.
11.
12. Mrs. M is going to bake a chocolate cheesecake that is 3 in deep and has a diameter of 6 inches. She’s going
to cut the cheesecake into 8 slices. What will the volume of one slice of cheesecake be? Show how you
found your answer.
Mocha Chocolate chip!!
13. A juice can is in the shape of a cylinder with a diameter of 4 inches. It has a volume of 125 cubic inches.
What is the height of the can? Round your answer to the nearest whole number.
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14. The student council is going to cover tennis balls with blue glitter to make ornaments to hang on the school’s
Christmas trees. How many bottles of glitter will they need to cover each tennis ball if a bottle of glitter
will cover 10 square inches? Round to the nearest whole number.
Unit 2 Test - Circumference, Area, and Volume
Answer Section
1. ANS:
15 yd3
PTS: 1
MSC: Knowledge
2. ANS:
mm3
DIF: Level 1
KEY: volume | prism
PTS: 1
MSC: Knowledge
3. ANS:
50 m3
DIF: Level 1
KEY: volume | cylinder
PTS: 1
MSC: Knowledge
4. ANS:
263.76 in.3
DIF: Level 1
KEY: volume | pyramid
PTS: 1
MSC: Knowledge
5. ANS:
24.05 in3
DIF: Level 1
KEY: volume | cone
PTS: 1
MSC: Knowledge
6. ANS:
140 in.3
DIF: Level 1
KEY: volume | cone
PTS: 1
DIF: Level 1
KEY: volume | prism | application
MSC: Application
7. ANS:
The chocolate kiss is a better buy because it cost $.77 per cubic inch but the sphere cost $1.06 per cubic inch.
PTS: 1
DIF: Level 1
KEY: volume | pyramid | application
MSC: Application
8. ANS:
18 in.3; because the cone and cylinder have the same radius and height, the volume of the cone is one third
the volume of the cylinder, so the volume of the cylinder is 3 times the volume of the cone.
PTS: 1
DIF: Level 1
MSC: Application
9. ANS:
198 yd or 197.82 yd
PTS: 1
MSC: Application
10. ANS:
DIF: Level 1
KEY: volume | cylinder | cone | application
KEY: circumference | circle | application
PTS: 1
11. ANS:
2034.72 ft3
DIF: Level 1
KEY: area | circle
MSC: Knowledge
PTS: 1
MSC: Knowledge
12. ANS:
75.36 in.3
DIF: Level 1
KEY: volume | cylinder
PTS: 1
MSC: Knowledge
13. ANS:
10 in.
DIF: Level 1
KEY: volume | cylinder
PTS: 1
DIF: Level 1
KEY: volume | cylinder | application
MSC: Application
14. ANS:
3 bottles since surface area is 28.27 square inches.
PTS: 1
MSC: Knowledge
DIF: Level 1
KEY: volume | prism