chapter 9 geometry in space. 9.1 prisms cylinders
DESCRIPTION
Definitions Polyhedron = a 3-d figure that has many faces Prism = has two parallel bases that are the same size and shape Height of a prism = the perpendicular distance between the two basesTRANSCRIPT
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CHAPTER 9
Geometry in Space
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9.1
Prisms & Cylinders
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DefinitionsPolyhedron = a 3-d figure that has many faces
Prism = has two parallel bases that are the same size and shape
Height of a prism = the perpendicular distance between the two bases
![Page 4: CHAPTER 9 Geometry in Space. 9.1 Prisms Cylinders](https://reader035.vdocuments.net/reader035/viewer/2022082206/5a4d1b777f8b9ab0599b7b3a/html5/thumbnails/4.jpg)
Rectangular & Triangular Prisms
Rectangular Prism
Triangular Prism
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Other Polyhedrons
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Cylinder and Cone
Cylinder Cone
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PracticeDraw the prism or cylinder from its description.1. A rectangular prism with a base of 5 in by 3
in and a height of 5 in.2. A triangular prism with a base of 3, 4, and 5
centimeters and a height of 7 centimeters.3. A cylinder with a base radius of 10
centimeters and a height of 15 centimeters.
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9.2
Volume of a Rectangular Prism
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Volume FormulaVolume = (length)(height)
(width)
V = lwh
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Practice
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9.3
Volume of a Triangular Prism
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Volume FormulaV=Bh
V= (½bh)h
This is the area of the base or triangle on the bottom
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Practice
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9.4
Volume of a Cylinder
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Volume Formula
V = πr2h
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Practice
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9.5
Surface Area of a Prism
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Surface Area
The sum of all the areas of the
polyhedrons faces.
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Practice
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9.6
Surface Area of a Cylinder
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Surface Area Formula
S = 2πrh + 2πr2
lateral surface area
base area
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Practice