The volume of the cube can be calculated by multiplying the length, width, and height, so 6 cm x 6 cm x 6 cm = 216 cubic cm.
The density of gold is 19 grams per cubic centimeter, so the total weight of the cube is 216 cubic cm x 19 grams per cubic cm = 4104 grams.
Mark purchases the gold for $60 per gram, so the total cost of the gold is 4104 grams x $60 per gram = $246,240.
He sells the gold for 1.5 times its gold value, so the selling price is $246,240 x 1.5 = $369,360.
The profit he makes is the selling price minus the cost price, so $369,360 - $246,240 = $123,120.
#### 123120
The answer is: 123120
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If Mark constructs a cube of pure gold with dimensions of 6 cm on each side, and the density of gold is 19 grams per cubic centimeter, he purchases the gold for $60 per gram and sells it for 1.5 times its gold value. What is the total profit he makes?

### Answer:
