View Full Version : Quick Math Aid

arguskos

2011-02-22, 06:48 PM

I need some calculations run real fast, and I'm kinda busy at the moment. I need someone to tell me how large a 10-pound gold brick would be. It's for accuracy in a D&D game (I'm kinda like that).

Basically, here's the situation: I have a vault with around 3,000 cubic feet of storage space. There is 450,000 gp in 500-gp gold bricks in this room. I need to know if this is actually physically possible. If so (and I'm pretty sure it is), I need to know how much remaining cubic space is left for other items. If not, I need the basic dimensions (in cubic feet) of a 500-gp, 10-lb, gold brick, so I can plan accordingly.

Anyone up for helping a math-impaired fellow out? And, if you'd be so kind as to show your math, so I can see how you got there, that'd be amazing.

Private-Prinny

2011-02-22, 07:36 PM

The density of gold is typically 19.3 grams/CC, and 10 lbs. is roughly 4536 grams. This means that each chunk takes up 235 cubic centimeters of space.

You need 900 bricks, which is a total of 211500 cubic centimeters, which is .2115 cubic meters, which is close to 7.5 cubic feet. You're fine on space.

Note: This is assuming that the conversions I used were correct. I'd wait for a second person to agree with me before trusting my answer.

arguskos

2011-02-22, 08:46 PM

Seems... small. Could make sense though, gold is famously dense. Anyone care to make a secondary confirmation?

Private-Prinny

2011-02-22, 08:54 PM

Well, (http://www.elmhurst.edu/~chm/vchembook/125Adensitygold.html) a standard US Federal Reserve gold bar is 728 cubic centimeters, and weighs about 31 pounds. The proportions are slightly off due to rounding, but it adds up okay.

Jimor

2011-02-22, 09:05 PM

3000 cubic feet is 10x10x30 which translates roughly to a decent sized living room in medium house.

<tangent>All the gold ever mined in history only amounts to a cube 60ft on a side, or 216,000 cubic feet.</tangent>

But yeah, 900 bricks, 10 pounds each, 9000 pounds. I know from work that 9000 pounds of books takes up 5 pallets that are 3x3x4 ft each, so that's 36x5 = 180 cubic feet. Divide that by 20 (19.3) for roughly 9 cubic feet. So this bass-ackwards way of coming at it matches pretty well with Prinny's numbers.

So we're talking a good sized treasure chest, 2 medium, or 3 small, tucked into the corner of your living room as an idea of overall scale.

arguskos

2011-02-22, 11:12 PM

<tangent>All the gold ever mined in history only amounts to a cube 60ft on a side, or 216,000 cubic feet.</tangent>

Really? Awesome.

But yeah, 900 bricks, 10 pounds each, 9000 pounds. I know from work that 9000 pounds of books takes up 5 pallets that are 3x3x4 ft each, so that's 36x5 = 180 cubic feet. Divide that by 20 (19.3) for roughly 9 cubic feet. So this bass-ackwards way of coming at it matches pretty well with Prinny's numbers.

So we're talking a good sized treasure chest, 2 medium, or 3 small, tucked into the corner of your living room as an idea of overall scale.

Ok, coolio, so, sounds good.

Thanks guys! Makes my life a mite bit faster!

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