Question

Question 30

A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ___

Answer 1

Given, a cube of side 5 cm is cut into 1 cm cubes
The volume of big cube $=5\times 5\times 5$
$=125c{m}^3$
Now, the big cube is cut into 1 cm cubes.
$\therefore$ The number of small cubes $=\frac{125}{Volumeof1smallcube}=\frac{125}{1}$.
Thus, the volume of big cube = The volume of 125 cubes having an edge 1 cm.
Hence, there is no change in the volume.