An online retail company ships its product in cartons Each carton is made by rectangular sheet of fiber board with dimension of 8 m by 3 m. While making the carton equal squares of side x metres are cut off from each corner of the rectangular sheet of fiber board. After that the resulting flaps are folded to form the carton (see that figure to identify the side of the carton).

Based on the above information, answer the following question.

The length (in meters) of carton box having maximum volume is

$\frac{20}{3}$

$8-2 x $

$=8-2 × \frac{2}{3}$

$=\frac{20}{3}$

Option: C