Geometry Question

If two objects are similar and their corresponding lengths are in the ratio  x/y,

                                                                         their areas are in the ratio  x2/y2

                                                              and their volumes are in the ratio  x3/y3

So if the surface area of AoPS is 100 times that of earh, the ratio of the surface area of AoPS to earth is     100/1

                                                                    which means that the corresponding lengths are in the ratio of      10/1

                                                                                                and the volumes are in the ratio of  103/13  or 1000/1

n is 1000.

Hey Rudram592, I know this is a question from AOPS...please refrain from posting them here.

Yes, your'e taking the geometry course on AoPs.

By the way, all AoPs problems have dollar signs next to each expression or phrase