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I have a cuboid with a width of 500mm, a height of 500mm and a length of 1000mm.

I need to know how many 38mm balls i will need to fill the cuboid.

Any help would be greatly appreciated.

Thank you.

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    radius is 38mm (its a sphere) the answer i have at the moment is 4394, but i am not sure if this is correct. Sorry i couldn't find a correct tag.2012-09-12

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if i am not wrong the total numbers of balls will be "4394"

  26 balls length wise  

{ 1000/38= 26(approx) }

13 balls width wise { 500/38= 13(approx) }

and 13 height wise { 500/38= 13(approx) } which will lead you to 26*13*13 = 4394 balls (approx)

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    @danyo no Problem :)2012-09-12
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Wikipedia says if you just pour the spheres into the box you will achieve a density of $0.609$ to $0.625$, leading to $5299$ to $5438$. If you shake the box it will be $0.625$ to $0.641$, or $5438$ to $5577$ balls. If you pack them perfectly (and ignoring the edge effects) you get $0.7401$ for $6439$ balls. All are much better than cubic packing.