If a rubik’s cube has a volume of 384 cubic centimeters, how long is one side of the cube?

The answer is:  "7.268 cm" .

Explanation:

Since the formula for the volume, "V", of a cube, is:

V = s³ ;

in which:  "s" = side length of a cube;

Given:  "V = 384 cm³ " ;  Plug this value into the formula; to solve for "s" ;

V = s³ ;

↔  s³ = V ; 

     s³ = V ; 

     s³ = 384 cm³ ;

Take the "cubic root" of EACH SIDE of the equation; to isolate "s" on one side of the equation ; & to solve for "s" ; 

   ∛(s³) = ∛ (384 cm³) ;

     s =   7.2684823713285586  cm

Round to:  7.268 cm .