(c)	The solid is made from gold. One cubic centimetre of gold has a mass of 19.3 grams. The cost of I gram of gold is $42.62.

Calculate the cost of the gold used to make the solid.


To calculate the cost of the gold used to make the solid, we need to follow these steps:

1. **Determine the volume of the solid (in cubic centimeters, cm³)**: The volume of the solid must be provided or calculated in some way. Without this information, we cannot proceed with the calculation.
   
2. **Calculate the mass of the solid**: 
   - Since the mass of 1 cubic centimeter of gold is 19.3 grams, the total mass of the solid is calculated using:
   \[
   \text{Mass of the solid (grams)} = \text{Volume of the solid (cm³)} \times 19.3 \, \text{g/cm³}
   \]

3. **Calculate the cost of the gold**: 
   - The cost of 1 gram of gold is $42.62, so the total cost of the gold is calculated as:
   \[
   \text{Cost of gold} = \text{Mass of the solid (grams)} \times 42.62 \, \text{\$/gram}
   \]

### Example (if volume is known):
Let’s say the volume of the solid is $ V \, \text{cm}^3 $.

- Mass of the solid = $ V \times 19.3 \, \text{grams} $
- Cost of the gold = $ V \times 19.3 \times 42.62 \, \text{dollars} $

Without the volume, I can’t complete the calculation. Could you provide that information?

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### Related Questions:
1. What formula do you use to calculate the volume of a solid?
2. How does the density of gold compare to other metals?
3. How is the cost of materials typically calculated for large objects?
4. What are some factors affecting the price of gold in the market?
5. How does the weight of a solid change if it's made from different materials?

**Tip**: Always check the unit consistency when solving problems involving mass, volume, and density!

The solid is made from gold. One cubic centimetre of gold has a mass of 19.3 grams. The cost of 1 gram of gold is $42.62. Calculate the cost of the gold used to make the solid.

Learn how to calculate the cost of gold used to make a solid by using its volume and the density of gold. With a mass of 19.3 grams per cubic centimeter and a price of $42.62 per gram, this problem covers key concepts in density and cost calculations. Suitable for Grades 9-12.

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