What is a real life example of a cube root equation? How are cube roots used in real life?

Any is very appreciated! (picture is provided below)not sure how to do this at all won't lie

Aclassmate thinks that solving a system by graphing gives an exact answer when the lines appear to cross at a grid point, but only an approximate answer when they don't. explain why this isn't true.

What is the gcf of 20c^3-5c^4+30c^6