chuabi

=7.1 volume and surface area of figures:= http://www.scholarnet.co.nz/demo/jmol/shell.php?content=volume.html#show
 * chab53 chapter 9 wiki**


 * activity:** [|**http://www.321know.com/geo79_x4.htm**]
 * ratios**:surface area to volume
 * s** = 2b+2h+2w
 * v** = lwh
 * ratio surface area to volume** = surface area / volume

answers: ratios 72/1200 or .06 surface area 72ft squared volume = 1200ft cubed
 * find the surface area to volume or surface area / volume ratio for the figure below
 * increasing and decreasing surface area :
 * [[image:http://farm1.static.flickr.com/133/352048052_93728894a8_m.jpg width="240" height="163" link="http://www.flickr.com/photos/arno-4m/352048052/"]] Imaging this building is10 ft length by 6 ft wide by 20 ft high
 * what is its surface area?
 * which factor (lenght width or hight) would affect its surface area the most?

=7.2 the prisms' surface are and volume:= http://www.scholarnet.co.nz/demo/jmol/shell.php?content=volume.html#show -Words to remember:** Altitude(segment that connects both bases and is perpendicular to the planes of the figure) & hight (how long the altitude is). -surface area:** lateral area + 2* base area / surface areahight*perimiter + 2*base area -voulume of a prism =** base area*hight = = = = =7.3 the pyramids surface area and volume:= activity: http://www.321know.com/geo79_x6.htm http://www.scholarnet.co.nz/demo/jmol/shell.php?content=volume.html#show -**Words to know**:pyrimid (figure that has a base and more than two faces), base (polygon), lateral faces (sides of the figure), vertex of the pyramid (point at the tip of the pyrimid), base edge (the segment that connects a lateral face and a side of the base), altitude (segment perpendicular to the base and goes from the base to the vortex), regular pyrimid (the base is a regular polygon), and oblique pyrimid (base is an irregular polygon). -**surface area of a regular pyramid=**lateral area*base area / surface area1/2 slant hight*perimiter of base + base area -**volume** = 1/3 base area*hight Imagine that this is a regular pyrimid with a square base.You are tring to see if the pyrimid is bigger than the sphinx. You need to find the volume and the surface area with the given information: base edge is 50 yards, the hight is 45 yards,slant hight is 60 yards. Answers for my question =**7.4 the suface area and volume of a cylinder:**= activity: http://www.321know.com/geo79x10.htm http://www.scholarnet.co.nz/demo/jmol/shell.php?content=volume.html#show -**Words to know:** cylinder (A shape that looks like a soup can that can be slanted. It the two bases are on parallel planes, connected by a lateral surface.), lateral suface (surface that connects the bases), bases (translated images on two parallel planes at each end of the figure and form the cicular region), altitude (segment connected to both bases and is perpendicular to them.), hight (length of the altitude), axes (segment whose andpoints are in the middle of the two bases), right cylinder (axes is prpendicular to bases), oblique cylander (axes is not perpendicular to the bases). -**surface area of a right cylinder:** lateral area + 2*base area / surface area2*pi*radius*hight + 2*pi*radius squared -**volume of a cylinder:** base area*hight / volumepi*radius squared*hight = = =7.5 the cones' surface area and volume:= activity**: http://www.321know.com/geo79_x3.htm http://www.scholarnet.co.nz/demo/jmol/shell.php?content=volume.html#show -**Words to know:** cone (that is made up of a circle base, curved lateral area and a vertex), base (bottom of the figure that is a circle), lateral surface (it is curved and it attaches the vertex to the base), vertex ( point at tip of cone), altitude (segment perpendicular to the base that connects the base to the vertex), hight( same as length of altitude), right cone (tip of altitude toughes exactly in the center of the cone), and oblique cone (altitude point is not exactly in the cener of the base).
 * activity: http://www.321know.com/geo79_x9.htm
 * formula for surface area of a right prisim :
 * formula for volume of a right prism :
 * -Cavalieri's Principle for creating formulas:**Two prisms with the same hight tha are cut by a plane, and the surface area of the shape from the prisms on the plane are equal, them the prisms are equal in volume.
 * formulas:**
 * formulas:**
 * [[image:http://farm1.static.flickr.com/88/245722167_99a1cfa683_m.jpg width="240" height="240" link="http://www.flickr.com/photos/wespionage/245722167/"]]
 * formulas:**

-**surface area of a right cone:** lateral area + base area / surface areapi*radius*slant hight + pi*radius squared -**voulume of a cone:**1/3 base area*hight / volume1/3 pi*radius squared*hight = = =7.6 the surface area and volume of spheres:= activity:** http://www.321know.com/geo79_x8.htm
 * [[image:http://farm1.static.flickr.com/83/258293488_69b952ca3f_m.jpg width="180" height="240" link="http://www.flickr.com/photos/misocrazy/258293488/"]]

-**Words to know**: sphere(points all derrived from the center point and are equal distance fronm the center point), annulus (ring shaped figure that is the face of a slice out of the sphere that shows the diameter) -**surface area of a sphere** = 4*pi*rdius squared -**volumeof a sphere** = 4/3*pi*radius cubed //**volume of a triangular prism**:B= 346.5/ h= 50/ volume= Bh/ 346.5*50= 17325units cubed// //**surface area of a triangular prism:**L+2B/ L=69300/ B=346.5/ 69300 + 346.5*2= 69300 + 69369993units squared// //**voulme of a pyrimid:**//1/3Bh/ B=49/ h= 12/1/3(49)(12)=1/3(588)= 196units cubed //**surface area of a pyrimid:**L//150/ B49/ surface areaL+B150+49199units squared //**volume of a cylender:**V//Bh/BPi576/ h= 14/V= Pi576*14= Pi590 units cubed or 1852.6 units cubed //**surface araea of a cone:=**L+B/L=16.35Pi/ B=pi9/ 16.35Pi+9Pi=25.35Piunits squared or 79.599 units squared
 * formulas:**
 * __//examples for test://__**
 * surface area of a cylender:**L672Pi/ B576Pi/ s=L+2B= 672Pi+ 2*576Pi= 672Pi+1152Pi= 1824Pi units squared or 5727.36usq.
 * volume of a cone**:1/3Bh/ B=576Pi/ h=4.55/v= 1/3(576Pi)(4.55)= 2620.8Pi units cubed or 8229.312units cubed
 * volume of a sphere**:4/3*Pi*r cubed/r=4.5/ 4/3*Pi*4.5 cubed= 4/3*Pi*91.125= 121.5Pi units cubed or 381.51units cubed
 * surface area of a sphere:=** 4*pi*r squared/4*pi*(r=4.5)squared= 4*Pi*20.25= 81Pi units squared or 254.32 units squared//