April 17,2012

Aim:  How do we find the volumes of pyramids and cones?

Volume formula for the pyramid and cone :

V: 1Bh                                                                  
       3
                                                                     
For the volume for pyramid and the cone you have to divide by three.

      In the formula for the pyramid the B stands for the area of the base.

       

In this case the base is a square so to find the area of the base we would use the length of the square and multiply it by its self so : length of one side <sup>2 .
After that multiply it by the height and divide it by three.

Cone: 
The cone can have the same formula as the pyramid but it can also be shown this way :</sup>
 V: 1πr2H

        3     






 πr2 is used instead of the area of the base which is a circle.


^{try it :}
 

	Choose:  2,095,533 20,955,334  43,442,812 74,350,037
The Pyramid of Khafre was built for the son of Khufa, for whom the Great Pyramid was built.  It is slightly smaller in size than the Great Pyramid. The height is 447.5 feet. The base side length is 706 feet. Find the volume of the Pyramid of Khafre to the nearest cubic foot.

^{images:  http://regentsprep.org/Regents/math/geometry/GG2/PyramidPage.htm
 http://regentsprep.org/Regents/math/geometry/GG2/ConePage.htm}
Try it : http://regentsprep.org/Regents/math/geometry/GG2/PracSol.htm