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