To+7.2+click+here...

__Objectives of 7.2__
Define and use formula for Surface area of a right prism Define and use formula for the volume of a right prism Use Cavalieri's Principle to find the volume of a obligue prism

//New terms for this section://
Altiude: Is a segment with two endpoints in a plane that contains both bases and that is also perpendicular to both of the planes Height: Is just the length of the altitudeTo get the surface area of a right prism the formula is this:

//Surface Area of a Right Prism//
S=hp+2b= surface area =height of the figure times the perimeter plus the base area times to: With the dimentions of 7x8x11 using the example above we would find surface area like this: S=HP+2B the perimeter sense it is a rectangle base would be (8x2)+(7x2) because the equation of the perimeter of a rectangle is" P=2b=2w two times the length plus two times the base the area of the base would be 8x7 because the equation of a rectangle is: A=bh or area= base times height and the height of this preticular right prism is 11 because it is defined in the picture.... so add these into the equation of surface area for a right prism which is S=hp+2b S=(11x30)+2(56) S=330+112 S=142cm =__Volume of a right Prism__= To find the volume we use the same formual V=Bh which is actually the same equation as the previous section which is V=LWH just a shortened version because you find the base area before entering it into the equation example: dimentions 7x8x11 if we were to find the volume of this triangualar prism with the formual V=Bh we would first have to multiply 8x7 to get the base area or B in the equation then we would multipuly that base area by 11 because it is the height like this V=Bh area of the base=8x7 8x7=56 then we would put 56x11 to get the volume 56x11 equals 616 which is the volume of the figure. But... if we wree to use the V=LWH we could just plug the numbers in to find the same thing...like this... V=8x7x11 V=616 which is just one last step to find the volume = = =__//Volume of Oblique Prisms...//__=

even though there is no ture defined method to get the surface area of a oblique prism...the volume is the same as a right prism...how can this be...we use Cavalieri's Principle to explain this: Cavaliers Principle is that if you have to solid objects and you were to cut them at their cross sections with every plane parallel to the base both will have equal area and equal volume

For a more detailed list of all surface areas and volumes of all types of prisms like pentagonal octagonal ect go here and maybe even play a relative game that is related to this cubject to learn the terms [|Click ME] To 7.3 click here