Answer:
[tex]12 \: cm[/tex]
Step-by-step explanation:
[tex]Given, volume \: of \: cube = 1728 {cm}^{3} [/tex]
[tex]Let \: x \: be \: the \: side \: of \: the \: cube.[/tex]
[tex]Volume \: of \: the \: cube = {x}^{3} [/tex]
[tex] {x}^{3} = 1728 {cm}^{3} [/tex]
[tex]x = \sqrt[3]{1728} [/tex]
[tex]x = 12 \: cm[/tex]