slide 1 copyright © 2015, 2011, 2008 pearson education, inc. area, volume, and surface area...
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Slide 1Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Area, Volume, and Surface Area
Section 9.3
Slide 2Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Finding Areas of Geometric Figures
Area Formulas of Common Geometric Figures
Rectangle
width
length
Area = length · width
A = lw
Square
side
side
Area = side · side
A = s ·s = s2
Slide 3Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Finding Areas of Geometric Figures
Area Formulas of Common Geometric Figures
Triangle Parallelogram
Area = base · height1Area = base height
2
1
2A b h
A = b · h
Slide 4Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Finding Areas of Geometric Figures
Area Formulas of Common Geometric Figures
Trapezoid
1Area = (one base other Base) height
2
1 = ( )
2A b B h
Slide 5Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Example
Find the area of a triangle.6 yds
5 yds
Slide 6Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Example
Find the area.
ft4
15
ft7
Slide 7Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Example
Find the area.5 m
9 m
4 m
Slide 8Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Circles
Area Formula of a Circle
2Area (radius) radius
2A r
22(A fraction approximation for is .)
7
(A decimal approximation for is 3.14.)
Slide 9Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Example
Find the area of the circle.
2 cm
Slide 10Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Formulas
2 2 2SA lh wh lw
Slide 11Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Example
Find the volume.
4 cm
4 cm8 cm
Slide 12Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Example
Find the surface area.4 cm
4 cm8 cm
Slide 13Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Formulas
26SA s
Slide 14Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Formulas
24SA r
Slide 15Copyright © 2015, 2011, 2008 Pearson Education, Inc.
ExampleApproximate the volume of the ball with a 3 inch radius. Use the approximation Give an exact answer and an approximate answer.
24
3V r
22 for .
7
Exact Approximate
Slide 16Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Finding Formulas Solids
22 2SA rh r
Slide 17Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Example
Approximate the volume of the can. Use Give an exact volume and an approximate volume.
22 for .
7
Exact
continued
Slide 18Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Formulas
2 2 2SA r r h r
1
2SA B pl
Slide 19Copyright © 2015, 2011, 2008 Pearson Education, Inc.
Example
Approximate the volume of the cone. Use Give an exact answer and an approximate answer.
3.14 for .
21
3V r h
Approximate
213 cm 14 cm
3
42 cu cm
continued
Slide 20Copyright © 2015, 2011, 2008 Pearson Education, Inc.
continued
Approximate the volume of the cone. Use Give an exact answer and an approximate answer.
3.14 for .