Answer:
19.3 g/cm³
Step-by-step explanation:
Density of a substance refers to the mass of the substance per unit volume.
Therefore, Density = Mass ÷ Volume 
In this case, we are given;
Mass of the gold bar = 193.0 g 
Dimensions of the Gold bar = 5.00 mm by 10.0 cm by 2.0 cm 
We are required to get the density of the gold bar
Step 1: Volume of the gold bar 
Volume is given by, Length × width × height 
Volume = 0.50 cm × 10.0 cm × 2.0 cm 
 = 10 cm³
Step 2: Density of the gold bar
Density = Mass ÷ volume 
Density of the gold bar = 193.0 g ÷ 10 cm³
 = 19.3 g/cm³
Thus, the density of the gold bar is 19.3 g/cm³