Length of a carton :
[tex] = \frac{22}{3} \: feet[/tex]
Width of the carton :
[tex] = \frac{11}{8} \: feet[/tex]
Height of the carton :
[tex] = \frac{11}{5} \: feet[/tex]
Volume of the carton :
= Length × Width × Height
[tex] = \frac{22}{3} \times \frac{11}{8} \times \frac{11}{5} [/tex]
[tex] = \frac{2622}{120} [/tex]
[tex]\color{hotpink} = 21.85 \: feet[/tex]
Therefore, the volume of the carton = 21.85 feet.