Henry Ernest Dudeney/Modern Puzzles/142 - Economy in String/General Solution

by : $142$

 * Economy in String

General Result
Let the string pass:
 * $a$ times along length $x$
 * $b$ times along breadth $y$
 * $c$ times along depth $z$.

Let the string be length $m$.

Then the maximum volume $xyz$ of the parcel is given by:


 * $x y z = \dfrac {m^2} {27 a b c}$

where: