just curious to know ....(since it can be regarded as a math question)

how much space does a billion dollar occupy?

1.if they are in currency of 100 dollars

2.maybe in some form of other asserts (gold etc.)

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- Jul 22nd 2013, 09:07 PMmpx86how much space does a billion dollar occupy?
just curious to know ....(since it can be regarded as a math question)

how much space does a billion dollar occupy?

1.if they are in currency of 100 dollars

2.maybe in some form of other asserts (gold etc.) - Jul 22nd 2013, 10:06 PMtopsquarkRe: how much space does a billion dollar occupy?
- Jul 23rd 2013, 02:44 AMChessTalRe: how much space does a billion dollar occupy?
The one hundred dollar bill of USA has dimensions width x length of about 15.6 cm x 6.6 cm.

If we assume that(i guess it's about right) a pack of 100 100-dollar bills stacked the one above the other(obviously in the area that is defined by its width and length) has 1 cm height then it's easy to find the volume.

Let's call a bundle, a pack of 100 100-dollar bills. One such bundle has 10000 dollars value.

For 10^9 dollars you need 10^9/10^4 = 10^5 such bundles to use.

Since the volume of one bundle is 15.6·6.6/10^6 m^3, the 10^5 bundles will take (10^5)·15.6·6.6/10^6 m^3 =~ 10.3 m^3

So we will need about 10.3 cubic meters of 100 100-dollar bills to use.

If we want to practically stack them in a room we could stack them in q rectangular cuboid shape of 1 meter height and with 1.56 m x 0.66 m size of its base's sides length.

That means we would use to create the base 10·10=100 bundles and also 100 bundles(1 m height /1 cm height of each bundle) to fill every column of these.

So we would have 10000 such bundles in a rectangular cuboid of size 1m x 0.66m x 1.56m

But we have 100000 bundles so we would need 10 of these rectangular cuboids to create a 1 billion dollar stack.

So 1 billion dollars can be stacked into 10 rectangular cuboids of a size 1m x 0.66m x 1.56m