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Ruler Stacking

by Sylvia Liu


Act One

  • Sylvia Liu

    Sylvia Liu

    March 06, 2014

    How far can you make the stack overhang the edge of the table?

  • Teacher note
  • 1.

    If you had 100 rulers, how far could you make the stack overhang the desk without it tipping? How about with 1000000 rulers?

  • 2.

    Is there an upper limit to the overhang distance, even if we had an unlimited number of rulers?

Act Two

  • We can approximate the maximum possible overhang of a stack of n rulers with the formula overhang = (L/2)*ln(n) + 0.2886, where L is the length of each ruler.


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