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Chapter 12
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IMPORTANT!
From Chapter 11, KNOW area formulas for:
TrianglesRectanglesTrapezoidsHexagons
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Name the parts:
21
3
(Right Rectangular Prism)
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1- lateral edge (height)2- lateral face (side)3- base (top/bottom)
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RIGHT PRISM:
SA = ( ____ )( ____ ) + 2( ____ )
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SA = ph + 2B
base perimeterheight Base Area
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RIGHT PRISM:
Volume = ( ____ )( ____ )
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V = Bh
Base Area height
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RIGHT CYLINDER:
SA = 2( __ )( __ )( __ ) + 2( __ )( __)
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SA = 2πrh + 2πr2
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RIGHT CYLINDER:
V = ( ____ )( ____ )( ____ )
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V = πr2h
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Complete:
SA V
Prisms ph + 2B Bh
Cylinders
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SA V
Prisms ph + 2B Bh
Cylinders 2πrh + 2πr2
πr2h
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Name the parts:
1
(Square Pyramid)
2
3
4
5
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1- lateral edge2- slant height (l)3- apothem4- height (h)5- base edge
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PYRAMID:
SA = ½ ( ___ )( ___ ) + ( ___ )
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SA = ½ pl + B
base perimeter base Area
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PYRAMID:
V = ( ____ )( ____ )31
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V = Bh31
Base Area
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Name the parts:
1
2
3
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1- height (h)2- radius (r)3- slant height (l)
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CONES:
SA = ( __ )( __ )( __ ) + ( __ )( __ )
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SA = π r l + π r2
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CONES:
V = 1/3 ( ___ )( ___ )( ___ )
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V = 1/3 π r2 h
volume of a cylinder
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Complete the chart:
Surface Area Volume
Pyramids
½ pl + B Bh
Cones
31
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Surface Area Volume
Pyramids ½ pl + B B hCones ½ (2 π r) l + π r2
or
π r l + π r2
π r2 h31
31
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SPHERES:
Area = ( ___ )( ___ )( ___ )
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A = 4 π r2
Area of a circle
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SPHERE:
V = ( ___ )( ___ )( ___ )
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V = π r334
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If r3 = 8 then r = ____ If r3 = 27 then r = ____ If r3 = 125 then r = ____
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If r3 = 8 then r = 2 If r3 = 27 then r = 3 If r3 = 125 then r = 5
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Find the slope and y-intercept of the following line:
6x – 8y = 15
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6x – 8y = 15-8y = -6x+ 15
y = x + 86
815
slope (3/4) y-intercept (-15/8)
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Solve by factoring:
x2 – 3x – 10 = 0
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x2 – 3x – 10 = 0(x – 5)(x + 2) = 0
x = 5, -2