Solve this:
Q. A cube of edge 'k' is divided into 'n' equal cubes. Determine the edge of the new cube.
(A) $\sqrt{nk}$
(B) $\frac{k}{\sqrt[3]{n}}$
(C) $\sqrt[3]{nk}$
(D) $\frac{\sqrt[3]{n}}{k}$

Please find below the solution to the asked query:

We know :  Volume of cube  = ( Edge )³ 

and we assume edge of new cube  =  x  , So from given condition we get :

$$\begin{gathered} k^3 = n\times x^3 \\ \Rightarrow \frac{k^3}{n}= x^3 \\ \mathbf{\Rightarrow }\mathit{x}\mathbf{ }\mathbf{=}\mathbf{ }\frac{\mathbf{k}}{\sqrt[\mathbf{3}\mathbf{ }]{\mathbf{n}}} \end{gathered}$$
Therefore,

Option ( B )                                                      ( Ans )

Hope this information will clear your doubts about topic.