A solid cube, whose each edge is of length 48 cm, is melted. Identical solid cubes, each of volume 64 cm3, are made out of this molten cube, without any wastage. How many such small cubes are obtained?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1728.
Given that
Length of cube = 48 cm
Volume of cube = a3
Hence, the volume of this cube = 483 = 110592
The volume of the smaller cubes = 64 cm3
Let the number of smaller cubes be = N
Hence, N × 64 = 110592
⇒ N = 1728