1. 1. Review of Area and Volume
   Image from Flickruser toastforbrekkie on Feb 12th, 2009
   http://www.flickr.com/photos/toastforbrekkie/3275037811/
   
2. 2. Area
   vs
   Volume
   
   • Two dimensional space in an object
   • 3. Two-dimensional objects only
   • 4. Square Units
   • 5. Three dimensional space in an object
   • 6. Three-dimensional objects only
   • 7. Cubed Units
3. 8. Area of a Square
   A=S2
   Area of a square is equal to the side squared
   Units: Unit of Side2
   S
   Ex:
   S=2 in
   A=S2
   A=2*2
   A=4in2
   Ex:
   S=7.4 ft
   A=S2
   A=7.4*7.4
   A=54.76 ft2
   S
   
4. 9. Area of a Rectangle
   A=S1*S2
   Area of rectangle is equal to Side 1*Side 2
   Units=unit of side2
   S1
   S2
   Ex:
   S1=3
   S2=5
   A=S1*S2
   A=3*5
   A=15 units2
   Ex:
   S1=15.6 cm
   S2=23.1 cm
   A=S1*S2
   A=15.6*23.1
   A=360.36 cm2
   
5. 10. Area of a Triangle
   A=1/2b*h
   Area of the triangle equals one half of the base times the height
   Units: units of b and h2
   h
   b
   Ex:
   b=4
   h=3
   A=1/2b*h
   A=1/2(4)*3
   A=6 units2
   Ex:
   b=5.6ft
   h=7.4ft
   A=1/2b*h
   A=1/2(5.6)*7.4
   A=20.72 ft2
   
6. 11. Area of a Circle
   A=r2
   Area of a circle is equal to pi (3.14159) times the radius2
   Units= units of r2
   r
   Ex:
   r=2
   A= r2
   A= (2)2
   A=12.566 units2
   Ex:
   r=57.2 cm
   A= r2
   A= (57.2)2
   A=10278.78 cm2
   
7. 12. Volume of a Cube
   V=S3
   Volume of a cube is equal to the side cubed
   Units= unit of side3
   S
   S
   Ex:
   S=3.5 ft
   V=S3
   V=3.53
   V=42.875 ft3
   S
   Ex:
   S=7in
   V=S3
   V=73
   V=343 in3
   
8. 13. Volume of a Box
   V=l*w*h
   Volume of a box equals the length times the width times the height
   Units= units of l,w,h3
   w
   l
   h
   Ex:
   l=3
   w=7
   h=2
   V=l*w*h
   V=3*7*2
   V=42 units3
   Ex:
   l=2.3
   w=4.7
   h=3.1
   V=l*w*h
   V=2.3*4.7*3.1
   V=33.511 units3
   
9. 14. Volume of a Sphere
   V=4/3r3
   Volume equals four thirds pi (3.14159) times the radius cubed
   Units= units of the radius3
   r
   Ex:
   r=4.7 in
   V=4/3r3
   V=4/3(4.7)3
   V= 434.893 in3
   Ex:
   r=2
   V=4/3r3
   V=4/3(2)3
   V=33.51 units3
   
10. 15. Volume of a Cylinder
    V= r2 h
    Volume of a cylinder is equal to pi (3.14159) times the radius squared times the height
    Units= units of r,h3
    r
    h
    Ex:
    r=1.6
    h=3.4
    V= r2 h
    V= (1.6)2 (3.4)
    V=27.344 units3
    Ex:
    r=3
    h=5
    V= r2 h
    V= (3)2 (5)
    V=141.372 units3
    
11. 16. Volume of a Cone
    V=1/3r2 h
    Volume of a cone is equal to one third times pi (3.14159) times the radius squared times the height
    Units=unit of r,h3
    h
    r
    Ex:
    r=4
    h=5
    V= 1/3r2 h
    V= 1/3(4)2 (5)
    V=83.776 units3
    Ex:
    r=3.2
    h=7.9
    V= 1/3r2 h
    V= 1/3(3.2)2 (7.9)
    V=84.714 units3
    
12. 17. The END