CHAPTER 9 Geometry in Space. 9.1 Prisms Cylinders.
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Transcript of CHAPTER 9 Geometry in Space. 9.1 Prisms Cylinders.
CHAPTER 9
Geometry in Space
9.1
Prisms & Cylinders
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
Rectangular & Triangular Prisms
Rectangular Prism
Triangular Prism
Other Polyhedrons
Cylinder and Cone
Cylinder Cone
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.
9.2
Volume of a Rectangular Prism
Volume FormulaVolume = (length)(height)
(width)
V = lwh
Practice
9.3
Volume of a Triangular Prism
Volume FormulaV=Bh
V= (½bh)h
This is the area of the base or triangle on the bottom
Practice
9.4
Volume of a Cylinder
Volume Formula
V = πr2h
Practice
9.5
Surface Area of a Prism
Surface Area
The sum of all the areas of the
polyhedrons faces.
Practice
9.6
Surface Area of a Cylinder
Surface Area Formula
S = 2πrh + 2πr2
lateral surface area
base area
Practice