Chapter 10

IMPORTANT!

From Chapter 7, 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

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 = 22:32 = 4:9

Volume Ratio = 23:33 = 8:27

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