# What size of container would you need to hold 1million grains of sand?

Relevance

one litre. (assuming agrain of sand is ~1mm in width)

• 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:

6.283e-10 m^3

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.

• 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 .

• Anonymous