A cube is cut into x smaller cubes each of volume 8cm3. If volume of the entire cube is 512 cm3, then find the value of 'x'.
64
Given, volume of entire cube = 512cm3 and the cube is cut into x smaller cubes of volumes 8cm3
Implies, there is shape conversion, but the volume remains same.
∴volume of entire cube = x×volume of one smaller cube
x=volume of entire cubevolume of 1 smaller cube
=5128=64
Therefore, the entire cube is cut into 64 smaller cubes.