The mass of the water displaced by the metal is 48.42 g.
Let's consider:
The mass of the volumetric flask with water and the metal is 128.77 g, that is:
[tex]mM + mW + mF = 128.77 g\\mW = 128.77 g - mM - mF\\mW = 128.77 g - 15.32 g - 65.03 g = 48.42 g[/tex]
The mass of the water displaced by the metal is 48.42 g.
You can learn more about the buoyancy force here: https://brainly.com/question/2131020