A solid cube, whose each edge is of length 48 cm, is melted. Identical solid cubes, each of volume 64 cubic cm, are made out of this molten cube, without any wastage. How many such small cubes are obtained?

Side of the cube = 48 cm

Volume of the smaller cubes = 64 cm³

Volume of the cube = $$\text{(side)}^3$$​​

Volume of big cube = n × volume of small cubes

ATQ,

48×48×48 = n×64

n = 1728

Therefore, 1728 smaller cubes are formed from the bigger cube.