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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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