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Is there a formula to find the side length of a right pyramid using its height/volume

  1. Sep 16, 2011 #1
    1. The problem statement, all variables and given/known data

    Basically the volume of the pyramid is 554.9 and its height is 15.1. I know that the forumla to find the volume of a pyramid is V=1/3lwh but I'm too dumb to figure out how to switch it around to make it work.

    3. The attempt at a solution

    I don't even know where to start!
     
  2. jcsd
  3. Sep 16, 2011 #2

    HallsofIvy

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    Re: Is there a formula to find the side length of a right pyramid using its height/vo

    V= (1/3)lwh is the volume of a pyramid with rectangular base with side lengths l and w and height h. If you know the volume of the pyramid, V, and height l, then you can solve for the base area as lw= 3V/h. You cannot solve for l and w separately- they can be any numbers that multiply to give 3V/h. If you know the base is square, with side lengths l= w= s, you have [itex]s^2= 3V/h[/itex] then [itex]s= \sqrt{3V/h}[/itex].
     
    Last edited: Sep 17, 2011
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