Sherry:

I'm not sure what the question is. I assume it is to determine the length of each side of the cube with the volume shown.

So for a given Volume of **500 cm**^{3}, each side would have a length of the
**cube root of 500 cm**^{3} or 500^{1/3} cm^{3}.

This can be simplified, through factoring: 500^{1/3} = (2*2*5*5*5)^{1/3} =
**(5*4**^{1/3}) cm is the length of each side **(read as 5 times the cube root of 4)**

Similarly, for **800 cm**^{3}, each side would have a length of

800^{1/3} = (2*2*2*2*2*5*5)^{1/3} = **2*100**^{1/3} cm (read as 2 times the cube root of 100).

Hope this helps!

George T.