The Pyramids Aren’t Big Enough
In the Smithsonian Institute there is a miniature model of one of the Pyramids at Gisa (in Egypt). It is 48 inches in height.
For the World Fair in New York 2020 they would like to display it, but it was thought to be too small so they decided to build a scaled-up model of the Pyramid out of material whose density is (1 / 7) times the density of the material used for the miniature.
If the mass (or weight) of the miniature and the scaled-up model are to be the same, how many inches in height will the scaled-up Pyramid be?