geometry unit 9 note sheets date name of lesson 8.2...
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Geometry Unit 9 Note Sheets
1
Date Name of Lesson
12.4 Volumes of Prisms
12.4 Volumes of Cylinders
12.5 Volumes of Pyramids
Quiz
12.5 Volumes of Cones
12.6 Volume of Spheres
Quiz
12.8 Volume of Composite Solids
Quiz
Practice Test
Unit Test
Geometry Unit 9 Note Sheets
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Volumes of Shapes Formula Sheet Prism Cylinder
Pyramid Cone
Geometry Unit 9 Note Sheets
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12.4 Volumes of Prisms Notes Vocabulary:
Volume ___________________________________________________________________________________
Volume of a Prism
Guided Practice
1. Find the volume of the prism.
Your Turn
2. Find the volume of the prism.
Guided Practice Your Turn
3. Find the volume of the prism. 4. Find the volume of the prism.
Geometry Unit 9 Note Sheets
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Cavalieri’s Principle
Guided Practice
5. Find the volume of an oblique hexagonal prism if the height is 6.4 centimeters and the base area is 17.3
square centimeters.
Your Turn
6. Find the volume of the oblique rectangular prism shown.
Guided Practice
7.
Your Turn
8.
Geometry Unit 9 Note Sheets
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12.4 Volumes of Cylinders Notes Volume of a Cylinder
Guided Practice
1. Find the volume of the given cylinder. Round to the nearest tenth.
Your Turn
2. Find the volume of the given cylinder. Round to the nearest tenth.
Guided Practice
3. Find the volume of the oblique cylinder. Round to the nearest tenth.
Geometry Unit 9 Note Sheets
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Your Turn
4. Find the volume of the oblique cylinder. Round to the nearest tenth.
5.
Guided Practice
Geometry Unit 9 Note Sheets
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12.5 Volumes of Pyramids Notes Volume of a Pyramid
Guided Practice
1. Find the volume of the pyramid. Round to the nearest tenth if necessary.
Your Turn
2. Find the volume of the pyramid. Round to the nearest tenth if necessary.
3. Find the volume of the pyramid. Round to the nearest tenth if necessary.
Geometry Unit 9 Note Sheets
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Guided Practice
4. At the top of the Washington Monument is a small square pyramid, called a pyramidion. This pyramid
has a height of 55.5 feet with base edges of approximately 34.5 feet. What is the volume of the
pyramidion? Round to the nearest tenth.
Your Turn
5. At the top of a stone tower is a pyramidion in the shape of a square pyramid. This pyramid has a height
of 52.5 centimeters and the base edges are 36 centimeters. What is the volume of the pyramidion?
Round to the nearest tenth.
Guided Practice
6. A square pyramid has base edges that are 14 centimeters and a height of 8 centimeters. Describe how
each change affects the volume of the pyramid. (Hint: If you are having trouble find the volume of the
original cylinder and the changed cylinders and then find how the volume is changed.
a) The height is tripled.
b) The base edges are doubled.
c) Both the base edges and the height are tripled.
Geometry Unit 9 Note Sheets
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12.5 Volume of Cones Notes Volume of a Cone
Guided Practice
1. Find the volume of the cone. Round to the nearest tenth.
Your Turn
2. Find the volume of the cone. Round to the nearest tenth.
3. Find the volume of the cone. Round to the nearest tenth.
Geometry Unit 9 Note Sheets
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Guided Practice
4. A cone has a volume of 568 cubic centimeters. What is the volume of a cylinder that has the same
radius as the cone? Explain your reasoning.
Your Turn
5.
6.
Geometry Unit 9 Note Sheets
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12.6 Volumes of Spheres Notes
Volume of a Sphere
Guided Practice
1. Find the volume of the sphere. Round to the nearest tenth.
2. Find the volume of the hemisphere. Round to the nearest tenth.
Your Turn
3. Find the volume of the sphere. Round to the nearest tenth.
4. Find the volume of a hemisphere with a diameter of 6 feet. Round to the nearest tenth.
Geometry Unit 9 Note Sheets
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Surface Area of Sphere
Guided Practice
7. 8.
Your Turn
9. 10.
Geometry Unit 9 Note Sheets
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12.8 Volume of Composite Solids Notes Composite Solid ____________________________________________________________________________
Guided Practice
Find the volume of the solid. Round to nearest tenth.
1.
2.
Your Turn
3.
Geometry Unit 9 Note Sheets
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Guided Practice
4.
Your Turn
5.
6.