#### Answer

d=mv
d=density ((g/$cm^{3}$))
m=mass (g)
v=volume ($cm^{3}$)

#### Work Step by Step

This question asks us to rank the sizes of cubes, given only the cubes respective densities and the fact that all weigh the same. This information means that we can use the density formula to solve the problem. The formula is d=m/v. We know that the mass is the same, so we don't have to worry about that. The volume is in the denominator of the fraction, meaning that the larger the volume, the smaller the density. That means that the cube with the largest density has the smallest volume. The densities are given as gold (density=19.32(g/$cm^{3}$), platinum (density=(g/$cm^{3}$), and lead (density=11.35(g/$cm^{3}$). Since the cube with the largest density has the smallest volume, listing the cubes from smallest volume to largest volume, it goes platinum, gold, lead.