   Finding extensions?
  How do you find how much of an increase with the total product, say the volume of a cube, become if you increase/decrease certain dimensions?  I know how to do it if you add/subtract a length, just put it into binomial form and multiply it out subtracting the original.  How do you do this with multiplication?  I''m writing a trivia program which more focuses on math and just random questions that nobody should know!   Charles Hwang    -aka oatmeal.net    [Maxedge My Site(UC)|E-mail|NeXe|NeHe|SDL][Google|Dev-C++|GDArticles|C++.com|MSDN]    
  Let l,m,n be the scale factor applied to x,y,z sonew x = lxnew y = mynew z = nzthen new volume = lx*my*nzso change of volume is lx*my*nz - x*y*z i.e. lmn - 1 times the original volume (increase).So doubling all lengths gives 8-1 = 7 original increase, which is correct because 2*2*2 = 8 = 7+1    "Most people think, great God will come from the sky, take away everything, and make everybody feel high" - Bob Marley 