To calculate the total cost for 12 golden circles, we first need to determine the amount of gold used for 12 circles and then the cost:
-
Volume of one circle:
Each circle is made of 10 cm³ of gold. -
Total volume for 12 circles:
\[ \text{Total volume} = 10 , \text{cm}^3 \times 12 = 120 , \text{cm}^3 \] -
Weight of gold for the total volume:
Given that there are 19.32 grams of gold per cubic centimeter, the total weight of gold is: \[ \text{Total weight} = 120 , \text{cm}^3 \times 19.32 , \text{g/cm}^3 = 2318.4 , \text{grams} \] -
Cost of gold:
Since gold costs $60 per gram: \[ \text{Total cost} = 2318.4 , \text{grams} \times 60 , \text{dollars/gram} = 139104 , \text{dollars} \]
Therefore, the total cost for 12 golden circles is $139,104.