Author Topic: Volume of currency  (Read 2941 times)

Offline sirpercival

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Volume of currency
« on: December 06, 2012, 11:56:05 PM »
How many coins to a cubic foot?  I'm looking specifically for platinum.
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Offline linklord231

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Re: Volume of currency
« Reply #1 on: December 07, 2012, 12:18:21 AM »
To start, we know that Density = mass/Volume.
Looking at Wikipedia, the density of platinum is 21.45 g/cm^3.
A google conversion shows us that 1ft^3 = 28,316 cm^3 (about)
So the mass of one cubic foot of platinum is 607,387.2 grams.

From the PHB, we know that 1 platinum coin weighs 1/50 lbs, which is 9.072g.
Dividing the mass of 1ft^3 of platinum by the mass of 1 coin should give us the total number of coins, which is about 66,952 (rounding to the nearest whole number).

Hope I did that right  :hide
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Offline Captnq

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Re: Volume of currency
« Reply #2 on: December 07, 2012, 12:26:25 AM »
I just have the Mirt the Moneylender's First Bank of Waterdeep's Bottomless change purse. (2.500 gp)

It holds an unlimited amount of coins and cut gems, but only coins and cut gems. If you pay for the upgrade (10,000 gp), your pouch is attached to Mirt's demi-plane of banking where your money can only be withdrawn by the account owner when he isn't being mind-controled. The demi-plane of banking performs automatic exchanges and provides cash in whatever denomination you desire. Mirt is very progressive in that he offers 0% interest on all accounts, with the purchase of a Greater Bottomless Change Purse. (ie, he doesn't charge you to keep your money safe, unlike most other Moneylenders.) And since it's backed by Waukeen, goddess of merchants, you don't want to even know what sort of horrible curses will befall anyone who tries to steal from the Demi-plane of Banking.
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Offline linklord231

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Re: Volume of currency
« Reply #3 on: December 07, 2012, 12:36:22 AM »
I assumed this was for a calculation like "how much money would an Adult dragon have if it literally slept on a bed of platinum?"
Because, really, even if a DM wanted coinage to count against your carrying capacity, generally he'd be more concerned about weight than volume.  Although I suppose that any party who possesses a cubit foot of platinum also ought to possess a Bag of Holding or similar, which makes volume a much more important factor than weight, so I see how I could be wrong.
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Offline Jackinthegreen

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Re: Volume of currency
« Reply #4 on: December 07, 2012, 12:37:11 AM »
There aren't any official rules of course, but it looks like Linklord has the correct math on it.

Offline sirpercival

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Re: Volume of currency
« Reply #5 on: December 07, 2012, 12:43:21 AM »
I assumed this was for a calculation like "how much money would an Adult dragon have if it literally slept on a bed of platinum?"
Because, really, even if a DM wanted coinage to count against your carrying capacity, generally he'd be more concerned about weight than volume.  Although I suppose that any party who possesses a cubit foot of platinum also ought to possess a Bag of Holding or similar, which makes volume a much more important factor than weight, so I see how I could be wrong.

It's also important for this.  Platinum is one of the most useful metals, but you can't create it other than through True Creation.  So I was wondering how many times I'd have to spam a True Creation which made 1pp (which is actually pretty cheap to buy) to get 1 cubic foot.
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Offline linklord231

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Re: Volume of currency
« Reply #6 on: December 07, 2012, 12:50:34 AM »
It's also important for this.

That is one of the coolest things I have seen in a long time.  Thank you for bringing it to my attention!
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Offline Amechra

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Re: Volume of currency
« Reply #7 on: December 07, 2012, 03:12:39 AM »
I assumed this was for a calculation like "how much money would an Adult dragon have if it literally slept on a bed of platinum?"
Because, really, even if a DM wanted coinage to count against your carrying capacity, generally he'd be more concerned about weight than volume.  Although I suppose that any party who possesses a cubit foot of platinum also ought to possess a Bag of Holding or similar, which makes volume a much more important factor than weight, so I see how I could be wrong.

It's also important for this.  Platinum is one of the most useful metals, but you can't create it other than through True Creation.  So I was wondering how many times I'd have to spam a True Creation which made 1pp (which is actually pretty cheap to buy) to get 1 cubic foot.

You can also take the Contractor PrC, and pick up the ability to convert any planetary metal to Platinum at a 10:1 ratio.

Also, take a read-through of my latest post on that thread; I've got a way to destroy the entire solar system (out to Pluto, at least), with about 10 years prep.
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Offline Halinn

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Re: Volume of currency
« Reply #8 on: December 07, 2012, 08:02:52 AM »
Draconomicon has a sidebar (page 278) detailing how large a pile of coins is (~12000 coins in a cubic foot). Optimally, circles have a packing density of 90.7%. However, the sidebar also states that they're "loosely packed", so let's assume for the sake of math that it's instead a square packing, which has a packing density of 78.5%. This becomes 0.540 coins/cm3, or a density of 4.89 g/cm3. This is true for all coins, which means that none of them are pure (unless D&D has different inherent rules regarding the density of those metals)

Offline Captnq

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Re: Volume of currency
« Reply #9 on: December 07, 2012, 09:06:01 AM »
I assumed this was for a calculation like "how much money would an Adult dragon have if it literally slept on a bed of platinum?"
Because, really, even if a DM wanted coinage to count against your carrying capacity, generally he'd be more concerned about weight than volume.  Although I suppose that any party who possesses a cubit foot of platinum also ought to possess a Bag of Holding or similar, which makes volume a much more important factor than weight, so I see how I could be wrong.

It's also important for this.  Platinum is one of the most useful metals, but you can't create it other than through True Creation.  So I was wondering how many times I'd have to spam a True Creation which made 1pp (which is actually pretty cheap to buy) to get 1 cubic foot.

You can also take the Contractor PrC, and pick up the ability to convert any planetary metal to Platinum at a 10:1 ratio.

Also, take a read-through of my latest post on that thread; I've got a way to destroy the entire solar system (out to Pluto, at least), with about 10 years prep.

Please do not blow up the solar system. It's where I keep all my stuff.
If you have questions about 3.5 D&D, you might want to look at the:
Encyclopedia Vinculum Draconis

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Offline sirpercival

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Re: Volume of currency
« Reply #10 on: December 07, 2012, 09:29:18 AM »
I assumed this was for a calculation like "how much money would an Adult dragon have if it literally slept on a bed of platinum?"
Because, really, even if a DM wanted coinage to count against your carrying capacity, generally he'd be more concerned about weight than volume.  Although I suppose that any party who possesses a cubit foot of platinum also ought to possess a Bag of Holding or similar, which makes volume a much more important factor than weight, so I see how I could be wrong.

It's also important for this.  Platinum is one of the most useful metals, but you can't create it other than through True Creation.  So I was wondering how many times I'd have to spam a True Creation which made 1pp (which is actually pretty cheap to buy) to get 1 cubic foot.

You can also take the Contractor PrC, and pick up the ability to convert any planetary metal to Platinum at a 10:1 ratio.

Also, take a read-through of my latest post on that thread; I've got a way to destroy the entire solar system (out to Pluto, at least), with about 10 years prep.

Awesome!  I made this so we can get down & dirty with this stuff.
I am the assassin of productivity

(member in good standing of the troll-feeders guild)

It's begun — my things have overgrown the previous sig.