Geometric Formulas for Chapter 11

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Created by:

jlu123  on May 11, 2012

Subjects:

geometry

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Volumes and SAs

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Geometric Formulas for Chapter 11

Euler's Formula
F+V=E+2
1/20
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Euler's Formula F+V=E+2
lateral area of prism LA=ph (p= 2(l+w))
surface area of prism SA: LA + 2B
lateral area cylinder LA: 2πrh
surface area cylinder SA: 2πrh+2πr²
lateral area of regular pyramid LA: 1/2 pl ( slant height)
surface area pyramid SA: LA + B
lateral area of cone LA: πrl
surface area of cone SA: πrl+πr²
cavalieri's principle when you slice the figure into thin slices, no matter how you stack the pieces up, the volumes of the similar solids are the same
volume of prism V= Bh
volume cylinder V=πr²h
volume of pyramid V=1/3Bh (B area of base)
volume of cone V= 1/3πr²h
surface area of sphere SA: 4πr²
volume of sphere V=4/3πr³
length sides similarity a:b
area similarity a²:b²
volume similarity a³:b³
oblique not straight, but in an inclined ramp or curve

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