Guest Post: Geico “Kash” Response
Thursday, May 28th, 2009After stumbling upon an interesting post on this website about the amount of money in the Geico “Kash” stack (I see a mascot replacement for Geico in the future), I decided to do some research into the matter myself. Why, you ask? Because I honestly have nothing better to do besides disprove an obscure claim about a ridiculous insurance company gimmick.
Anyways, the article posted previously stated that the Geico Kash stack contains 254 five dollar bills, or a total of $1,270. While I do appreciate the use of mathematics to try to solve this problem which has been vexing mathematicians since the beginning of time, I think that this is just one of those things that is more easily solved with a bit of observation.
The Geico Kash stack has somehow become a very pervasive image in society today. For this reason, it was a fairly easy matter to find a picture of this popular embodiment of currency. I found my money picture (no pun intended - okay, maybe it was sort of intended) in an issue of Readers’ Digest (June 2009 issue, page 169, if anyone actually cares enough to check). By simply counting the number of bills in the money stack, I found that there are only around 45-60 bills in the stack of money. I acquired this number by counting up the number of bills one could actually distinguish in the stack and then adding a small sum to the total because of the possibility that the edges of some of the bills were bent and did not show up at the front of the stack. The grand total, then, comes to $225-$300.
I am sure that my previous assertion is recieving some incredulous scoffs at this moment (assuming the reader has even bothered to read this far). After all, what is mere observation compared to cold, hard mathematics? Well, I may not be able to concretely back up my claims, but I can at least disprove the math behind the previous conclusion of 254 bills. First of all, the height of the stack of bills was wrong in the original calculation. The top of the Geico Kash stack is not flat. Rather, it is in the shape of a parabola. As a result, the height of the stack of cash cannot be accurately measured by taking the height of the stack of cash at the edges. Rather, the closest estimate can only come from the center of the stack, where it is most tightly bound. Even this, however, is not the correct height. Near the end of the previous post about the Geico Kash stack, it is mentioned that “compression” might distort the calculations. On the contrary, it is actually expansion that invalidates these calculations. To take the height of any geometric solid, the object in question has to be just that, solid. The stack of Geico cash is obviously not solid, and would contain some air gaps that would mess up the measurement (for example, the “mouth” of the stack of money is a “hole” in the height). Consequently, it is very difficult to correctly calculate the amount of bills in this stack of cash using geometrical applications.
Well, that’s that. So as a result of my findings, I declare that Geico did NOT attempt to distort the truth of their customers’ potential savings.
- DH (guest writer)