52 



SOILS AND MANUEES 



of uniform particles of any given form depends upon the 

 arrangement. 



The largest sphere that any cube can contain l occupies 

 only 52*361 per cent, of the space, and the remaining 



Fm. 5. 



FIG. 6. 



FIG. 7. 



47'639 per cent, is left unoccupied (Fig. 5). The same 

 relation obviously holds good when any number of cubes 

 (in a compact mass) are replaced by spheres' (Fig. 6). 



1 The relation between the volume of a cube and the largest sphere 

 it can contain is shown by the formulae 

 (2r) 3 : 4/3 Trr 8 

 cube sphere 



1 : -52361 = 52-361 per cent. 



