Question
A jewelry company makes golden circle pendants. Each circle is made of 10 cm3 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 point)
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Answers
GPT-4o mini
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:
1. **Volume of one circle**:
Each circle is made of 10 cm³ of gold.
2. **Total volume for 12 circles**:
\[
\text{Total volume} = 10 \, \text{cm}^3 \times 12 = 120 \, \text{cm}^3
\]
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:
\[
\text{Total weight} = 120 \, \text{cm}^3 \times 19.32 \, \text{g/cm}^3 = 2318.4 \, \text{grams}
\]
4. **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**.
1. **Volume of one circle**:
Each circle is made of 10 cm³ of gold.
2. **Total volume for 12 circles**:
\[
\text{Total volume} = 10 \, \text{cm}^3 \times 12 = 120 \, \text{cm}^3
\]
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:
\[
\text{Total weight} = 120 \, \text{cm}^3 \times 19.32 \, \text{g/cm}^3 = 2318.4 \, \text{grams}
\]
4. **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**.