#### Answer

The metals can't be the same because their densities are different.

#### Work Step by Step

The metals can be the same only if their densities are the same.
Cubes have volumes of $w^3$, and density is mass divided by volume.
Your cube's density: (16.23g)/(1.32cm)$^3$ = 7.06g/cm$^3$
Partner's cube's density: 24.64g/(1.46cm)$^3$ = 7.92g/cm$^3$
These densities don't match, so the cubes must be different substances.