Chapter 10

IMPORTANT! From Chapter 7, KNOW area formulas for: Triangles Rectangles Trapezoids Hexagons

Name the parts: (Right Rectangular Prism)

1- lateral edge (height) 2- lateral face (side) 3- base (top/bottom)

RIGHT PRISM: SA = ( ____ )( ____ ) + 2( ____ )

SA = ph + 2B base perimeter height Base Area

RIGHT PRISM: Volume = ( ____ )( ____ )

V = Bh Base Area height

RIGHT CYLINDER: SA = 2( __ )( __ )( __ ) + 2( __ )( __)

SA = 2πrh + 2πr 2

RIGHT CYLINDER: V = ( ____ )( ____ )( ____ )

V = πr 2 h

Complete: SAV Prismsph + 2BBh Cylinders

SAV Prismsph + 2BBh Cylinders 2πrh + 2πr 2 πr 2 h

Name the parts: 1 (Square Pyramid)

1- lateral edge 2- slant height (l) 3- apothem 4- height (h) 5- base edge

PYRAMID: SA = ½ ( ___ )( ___ ) + ( ___ )

SA = ½ pl + B base perimeter base Area

PYRAMID: V = ( ____ )( ____ )

V = Bh 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 r 2

CONES: V = 1/3 ( ___ )( ___ )( ___ )

V = 1/3 π r 2 h volume of a cylinder

Complete the chart: Surface AreaVolume Pyramids ½ pl + BBhBh Cones

Surface AreaVolume Pyramids ½ pl + BB h Cones ½ (2 π r) l + π r 2 or π r l + π r 2 π r 2 h

SPHERES: Area = ( ___ )( ___ )( ___ )

A = 4 π r 2 Area of a circle

SPHERE: V = ( ___ )( ___ )( ___ )

V = π r 3

If r 3 = 8 then r = ____ If r 3 = 27 then r = ____ If r 3 = 125 then r = ____

If r 3 = 8 then r = 2 If r 3 = 27 then r = 3 If r 3 = 125 then r = 5

Complete for similar solids: Scale Factor/Similarity Ratio = 2 : 3 Area Ratio = _____ Volume Ratio = _____

Complete for similar solids: Scale Factor/Similarity Ratio = 2 : 3 Area Ratio = 2 2 :3 2 = 4:9 Volume Ratio = 2 3 :3 3 = 8:27

Find the slope and y-intercept of the following line: 6x – 8y = 15

6x – 8y = 15 -8y = -6x+ 15 y = x + slope (3/4) y-intercept (-15/8)

Solve by factoring: x 2 – 3x – 10 = 0

x 2 – 3x – 10 = 0 (x – 5)(x + 2) = 0 x = 5, -2