The Eiffel Tower, with its 324 meters of height, made with iron trusses, weighed 7300 tons when it finished being built in 1889. An architect decides to build a prototype of this tower on a 1:100 scale, using the same materials (each linear dimension on a 1:100 scale of the real monument). Consider that the real tower has a mass $\mathrm{M}_{\text{tower}}$ and exerts on the foundation upon which it was erected a pressure $\mathrm{P}_{\text{tower}}$. The model built by the architect will have a mass $\mathrm{M}_{\text{model}}$ and will exert a pressure $\mathrm{P}_{\text{model}}$.
How does the pressure exerted by the tower compare with the pressure exerted by the prototype? That is, what is the ratio between the pressures $(\mathrm{P}_{\text{tower}})/(\mathrm{P}_{\text{model}})$?
(A) $10^{0}$
(B) $10^{1}$
(C) $10^{2}$
(D) $10^{4}$
(E) $10^{6}$