What size of container would you need to hold 1million grains of sand?
- 1 decade agoFavorite Answer
one litre. (assuming agrain of sand is ~1mm in width)
- 1 decade ago
According to Wikipedia: "Sand is a granular material made up of fine rock particles. Sand is a naturally occurring, finely divided rock, comprising particles or granules ranging in size from 0.0625 (or 1⁄16 inch) to 2 millimeters."
If we assume an average size of 1mm for a grain of sand,
and we assume that's the diameter of a spherical grain,
then each grain is
Vol = 4(pi)r^3/3 = 4(pi)(0.0005m)^3/3
= 5.236e-10 m^3
If we assume that, because they can't be perfectly stacked with no gaps, each grain takes up, say, 20% more room than this, then each grain requires:
A million grains then require=
1000000 * 6.283e-10 = 0.0006283 m^3
= 0.6283 litre
That's less than 3 US cups of sand.Source(s): http://en.wikipedia.org/wiki/Sand
- clintwestwoodLv 41 decade ago
Depends on the size of the grains - if each grain was one metre square for example , simply multipy this by a million and hey presto you have your container size - probably XXL . if on the other hand the grains of sand were very small , a smaller container would suffice .
- Anonymous1 decade ago
go to the container secton of your local walmart, on the left hand side right in back of the 500,000 grains of sand box you'll find the 1,000,000 box . can't miss it ,they only carry those two sizes, if they're out just ask the clerk to order more, if you hurry they might be in by new year
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- manbearpigLv 41 decade ago
A gallon jug