A jewelry company makes golden circle pendants. Each circle is made of 10 cm3

10

cm
3
of gold, and there are 19.32 grams of gold per cubic centimeter. If gold costs $60 per gram, what is the total cost for 12 golden circles?

1 answer

To find the total cost for 12 golden circle pendants, we can break down the calculation into a few steps.

  1. Calculate the mass of gold for one circle: Each circle is made of 10 cm³ of gold. Given that there are 19.32 grams of gold per cubic centimeter: \[ \text{Mass of gold for one circle} = 10 , \text{cm}^3 \times 19.32 , \text{g/cm}^3 = 193.2 , \text{grams} \]

  2. Calculate the mass of gold for 12 circles: \[ \text{Mass of gold for 12 circles} = 12 \times 193.2 , \text{grams} = 2318.4 , \text{grams} \]

  3. Calculate the total cost for 12 circles: The cost of gold is $60 per gram. Therefore: \[ \text{Total cost} = 2318.4 , \text{grams} \times 60 , \text{dollars/gram} = 139104 , \text{dollars} \]

Thus, the total cost for 12 golden circles is \(\boxed{139104}\) dollars.