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Chapter 12
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IMPORTANT! From Chapter 11, KNOW area formulas for: Triangles Rectangles Trapezoids Hexagons
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Name the parts: 3 1 2 (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 height Base Area base perimeter
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RIGHT PRISM: Volume = ( ____ )( ____ )
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V = Bh Base Area height
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SA = 2( __ )( __ )( __ ) + 2( __ )( __)
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 2 4 3 5 (Square Pyramid)
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1- lateral edge. 2- slant height (l). 3- apothem. 4- height (h)
1- lateral edge 2- slant height (l) 3- apothem 4- height (h) 5- base edge
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SA = ½ ( ___ )( ___ ) + ( ___ )
PYRAMID: SA = ½ ( ___ )( ___ ) + ( ___ )
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SA = ½ pl + B base Area base perimeter
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PYRAMID: V = ( ____ )( ____ )
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V = Bh Base Area
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Name the parts: 3 1 2
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1- height (h) 2- radius (r) 3- slant height (l)
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SA = ( __ )( __ )( __ ) + ( __ )( __ )
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
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½ pl + B B h ½ (2 π r) l + π r2 or π r l + π r2 π r2 h Surface Area
Volume Pyramids ½ pl + B B h Cones ½ (2 π r) l + π r2 or π r l + π r2 π r2 h
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Area = ( ___ )( ___ )( ___ )
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 r3
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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 + 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
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