Question

If the volume of a 3 x 3 Rubik's cube is $81{\text{cm}}^3$, what is the length (in $\text{cm}$) of a side of each of the smaller cubes?

• A. 3

Answer 1

The correct option is A 3
For a cube, all sides are of equal length and if each side is '$a$', the volume of the cube is equal to $a^3$.

In the given example, the volume of the cube is $81{\mathrm{cm}}^3=9^3{\mathrm{cm}}^3$. This implies the side of the rubik's cube is $9\text{cm}$.



There are three smaller cubes in one edge, so the side length of each of those cubes would be $\frac{9}{3}=3\text{cm}$.