Transcript Chapter 10 IMPORTANT! From Chapter 7, KNOW area formulas for: Triangles Rectangles Trapezoids Hexagons Name the parts:2 (Right Rectangular Prism) 1- lateral edge (height) 2- lateral face (side) 3- base (top/bottom) RIGHT PRISM: SA.

Chapter 10
IMPORTANT!
From Chapter 7, KNOW
area formulas for:
Triangles
Rectangles
Trapezoids
Hexagons
Name the parts:
3
1
2
(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 +
2
2πr
RIGHT CYLINDER:
V = ( ____ )( ____ )( ____ )
V=
2
πr h
Complete:
Prisms
Cylinders
SA
V
ph + 2B
Bh
Prisms
Cylinders
SA
V
ph + 2B
Bh
2πrh + 2πr2
πr2h
Name the parts:
1
2
4
3
5
(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:
1
3
V = ( ____ )( ____ )
1
V = 3 Bh
Base Area
Name the parts:
3
1
2
1- height (h)
2- radius (r)
3- slant height (l)
CONES:
SA = ( __ )( __ )( __ ) + ( __ )( __ )
SA = π r l + π
2
r
CONES:
V = 1/3 ( ___ )( ___ )( ___ )
V = 1/3 π
2
r h
volume of a cylinder
Complete the chart:
Surface Area
Pyramids
Cones
½ pl + B
Volume
1
3
Bh
Surface Area
Pyramids
Cones
½ pl + B
½ (2 π r) l + π r2 or
π r l + π r2
Volume
1
3
1
3
Bh
π r2 h
SPHERES:
Area = ( ___ )( ___ )( ___ )
A = 4 π r2
Area of a circle
SPHERE:
V = ( ___ )( ___ )( ___ )
V
4
3
= 3π r
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 = 6 x + 815
8
slope (3/4)
y-intercept (-15/8)
Solve by factoring:
x2 – 3x – 10 = 0
2
x –
3x – 10 = 0
(x – 5)(x + 2) = 0
x = 5, -2