Final answer:
The mass of the gold sample is 48.25 grams.
Step-by-step explanation:
To find the mass of a gold sample with a volume of 2.5 cubic centimeters, we can use the formula for density, which is given as d = m/V (density = mass/volume). 
We are given the density of gold, which is 19.3 g/cm³. 
We can rearrange the formula to solve for mass: m = d * V. 
Plugging in the values, m = 19.3 g/cm³ * 2.5 cm³ 
= 48.25 grams. 
Therefore, the mass of the gold sample is 48.25 grams.