You know what the blogs in this town need?
More crossover events.
Kind of like when Laverne and Shirley would visit Fonzie or Detective Munch showed up on the X-Files.
Well, the The Inaugaral Spynotebook/Bored Athenians Sci-stravaganza! is sort of like this but it is also like a science fair but it also just us wondering the following:
Do three dimes have more volume than one quarter?
This is important, because we were asked the question at work today, “Would you rather have a room full of dimes or a room full of quarters?” Theoretically, if:V of 3dimes <= V of 1 quarter
Then you would prefer to have a room full of dimes. But if the opposite is true, then you would prefer a room full of quarters.
Ideally, you would be able to figure out the volume of one dime and the volume of one quarter, then divide each of them into the volume of the room, multiplying each result by it's respective monetary value.
But I think this might be an oversimplification of the problem. Because you still have to deal with the issue of area. Mainly, since the dime is smaller, could you fit more rows of dimes in the room. If you could shake the room around a little bit, then you might think more dimes would find their own little nook and cranny amongst the other dimes.
Anybody got an answer?
Thanks ACraw.
Spynotebook opinions?
Sheni has suggested that we all get together with a bunch of quarters and dimes and see what we can come up with.
But here’s the question not being asked: Regular, old-fashioned quarters or new-fangled 50 states quarters? Because I wonder if the different designs would cause any change in volume on a room-sized basis.
Based on volume, it looks like a wash with
dimes coming out with a slight edge. You
will note that I’ve used the diameter of
the coins twice… squaring out the coins.
24.00mm x 24.00mm x 1.63mm = 938 cubic mm
17.91mm x 17.91mm x 0.95mm = 304 cubic mm
This would be the case if the coins were
lined up diameter to diameter.
So if we look at the *actual* volume of the
coins:
pi x (24.00mm/2)^2 x 1.65mm = 746 cubic mm
pi x (17.91mm/2)^2 x 0.95mm = 239 cubic mm
The fractions work out approximately the same
as with squaring the coins.
My guess would be that the dimes would come
out ahead because they take up barely less
than a third of the volume, so three times
the number of dimes is equal to the volume
of the quarters, but is an increase of 20%
more money (.30 as opposed to .25). The final
outcomes (difference in value x difference in
volume) looks like about a 28% lead for dimes
over quarters.
Let’s make a nice, real-world set of examples:
My bedroom is 11 x 13 feet with a nice 10 foot
ceiling. That’s…
3352.8mm x 3962.4mm x 3048mm = 40479000000 cubic mm
That’s about 133155730 squarely stacked dimes or $13,315,573.00
It’s also about 43154948 squarely stacked quarters or $10,788,737.00
Remember that that’s a non-optimally stacked room. An optimally stacked room would see an increase of about 10% to these figures.
Speaking of real world examples, the CoinStar machine at the Krogers makes 8.9 cents for each dollar of change. So, they would get to keep:
$1,185,086 for our dimes.
-or-
$960,197.59 for our quarters.
They would be happier with our dimes.
Which Kroger would be more likely to have several million dollers at the store? Would it be better to try Winn-Dixie? How many machines would we have to use? What type of dumptruck should we rent to transport the quarters/dimes?
Should we roll them ourselves? What would our yearly salary be if we rolled 133,155,730 for 8 hours a day (figuring in an hour for lunch and two 15-minute coffee breaks)?
Let’s assume that a roll of dimes holds 50 dimes for a value of $5.00.
Based on no evidence, I am going to assume that you can roll two rolls of dimes in a minute.
So, what’s that, $10/minute times 8 60-hour minutes gives you $4800/day. Let’s say you LOVE your job and want to work every day. That would mean you were bringing in $1,752,000/year for rolling the room full of dimes. Much like one can assume a frictionless environment, we’ll assume a taxless environment. But, how much of the $600/hour would you want to farm out to the rolling coin equivilent of migrant workers?
The Cost of the Serial Comma
Not since we wondered if we would rather have a room full of dimes or a room full of quarters have we addressed truly important topics in the Spynotebook. But, now we have the following question. Just how much does…
The Cost of the Serial Comma
Not since we wondered if we would rather have a room full of dimes or a room full of quarters have we addressed truly important topics in the Spynotebook. But, now we have the following question. Just how much does…
The Cost of the Serial Comma
Not since we wondered if we would rather have a room full of dimes or a room full of quarters have we addressed truly important topics in the Spynotebook. But, now we have the following question. Just how much does…
The Cost of the Serial Comma
Not since we wondered if we would rather have a room full of dimes or a room full of quarters have we addressed truly important topics in the Spynotebook. But, now we have the following question. Just how much does…
The Cost of the Serial Comma
Not since we wondered if we would rather have a room full of dimes or a room full of quarters have we addressed truly important topics in the Spynotebook. But, now we have the following question. Just how much does…
The Cost of the Serial Comma
Not since we wondered if we would rather have a room full of dimes or a room full of quarters have we addressed truly important topics in the Spynotebook. But, now we have the following question. Just how much does…
The Cost of the Serial Comma
Not since we wondered if we would rather have a room full of dimes or a room full of quarters have we addressed truly important topics in the Spynotebook. But, now we have the following question. Just how much does…