https://file.aiquickdraw.com/mathbot/file/1728918400640aggy27jg.jpg

Let's solve the problem step by step.

The **formula for density** is:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

### Given:
- **Mass of the gemstone** = 3.2 grams
- **Volume displaced** = 0.16 liters

We need to convert the volume from liters to cubic centimeters (cm³), since 1 liter = 1000 cm³.

\[
0.16 \, \text{liters} = 0.16 \times 1000 = 160 \, \text{cm}^3
\]

Now, use the formula for density:

\[
\text{Density} = \frac{3.2 \, \text{grams}}{160 \, \text{cm}^3} = 0.02 \, \text{g/cm}^3
\]

### Answer:
The density of the gemstone is **0.02 g/cm³**.

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How would the density change if the gemstone had a mass of 6.4 grams but displaced the same volume?
2. What happens to the density if the volume displaced is reduced to 0.08 liters?
3. Can you convert the density of this gemstone into kg/m³?
4. How would you calculate the density if the volume was measured in milliliters (mL)?
5. Why is it important to measure both mass and volume to determine density?

**Tip:** Always ensure units are consistent when using formulas, particularly when converting between volume units (liters to cm³).

A gemstone weighs 3.2 grams and displaces 0.16 liters of water when submerged. What is the density of the gemstone in g/cm³ and show your work?

Solve the density calculation of a gemstone that weighs 3.2 grams and displaces 0.16 liters of water. Learn step-by-step how to calculate density in g/cm³ by converting volume from liters to cubic centimeters.

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