"Y is inversely proportional to the cube of x" translates to Y = kx³ where k is unknown constant. We need to solve for k.
So we have Y = 3 and x = 2. Plug in and we get 3 = k2³ = 8k
So k = 3/8
Now we can solve for Y when x = 3
Y = (3/8)3³ = (3/8)27 = 81 / 8
Final answer: 81 / 8
