Sean is building nesting boxes for their Etsy store. The smallest box is a cube, 10 cm on a side. It fits entirely inside a larger cubic box that is 15.0 cm on a side (50% larger). If each box has dimensions that are 50% larger than the one before then what is the total maximum number of nesting boxes Sean can build that will fit inside a shipping carton that has a cube-shaped interior, 1 m (100 cm) on a side?​