If p men working p hours per day for p days produce p units of work, then the units of work produced by n men working n hours a day for days is = ?

Applying formula
Let work done by 'n' men and women
$$\frac{{{{\text{p}}_{{\text{men}}}} \times {{\text{p}}_{{\text{hours}}}} \times {{\text{p}}_{{\text{days}}}}}}{{{{\text{p}}_{{\text{units}}}}}} = $$     $$\frac{{{{\text{n}}_{{\text{men}}}} \times {{\text{n}}_{{\text{hours}}}} \times {{\text{n}}_{{\text{days}}}}}}{{{{\text{W}}_{{\text{units}}}}}}$$
$$\eqalign{ & \Leftrightarrow {{\text{p}}^{\text{2}}} = \frac{{{{\text{n}}^{\text{3}}}}}{{\text{w}}} \cr & \Leftrightarrow {\text{W}} = \frac{{{{\text{n}}^{\text{3}}}}}{{{{\text{p}}^{\text{2}}}}} \cr} $$