The volumes of the two nuggets can be determined by dividing their respective masses by their densities.

Density of iron pyrite = 4.95 g/cm³

Density of gold = 19.3 g/cm³

Volume of iron pyrite = 50 g / 4.95 g/cm³ = 10.10 cm³

Volume of gold = 50 g / 19.3 g/cm³ = 2.59 cm³

Conclusion: The iron pyrite nugget has a larger volume than the gold nugget, despite having the same mass. This is because iron pyrite has a lower density than gold.