Question

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?

Answer 1

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.