Originally posted by Simon Caiger
Mass = Density * Volume

The mass of the miniature pyramid is to be the same as that of the new model so the density is inversely proportional to the volume.

For similar solid objects, the volume is proportional to the cube of the heights.

ie VolumeofNew/VolumeofOld = (HeightofNew/HeightofOld)^3

So we have :

HeightofNew = HeightofOld * (DensityofOld/DensityofNew)^1/3

HeightofNew = 4 * (3^1/3) = 5.77 inches


Errrr .... I think
OK... you're on the right track. You went wrong at the end.