A piece of an unknown metal weighs 400.1 g and occupies a volume of 72.2 mL. What is the density of this metal?

To calculate the density of the metal, you can use the formula for density:

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

Here:
- The mass of the metal is 400.1 g.
- The volume of the metal is 72.2 mL (which is equivalent to 72.2 cm³, as 1 mL = 1 cm³).

Now, applying the values:

\[
\text{Density} = \frac{400.1 \, \text{g}}{72.2 \, \text{mL}} \approx 5.54 \, \text{g/mL}
\]

So, the density of the metal is approximately **5.54 g/mL**.

Would you like to explore this further, or have any questions about the process?

### Related Questions:
1. What is the formula for calculating mass if density and volume are known?
2. How does density vary with temperature for most metals?
3. Can you compare the density of this metal with common metals like aluminum or copper?
4. What units can be used for density, and how can they be converted?
5. How would you determine the density of a metal with an irregular shape?

**Tip**: Density is a material property that can help identify unknown substances if compared with known densities of various materials.

Find the density of a metal weighing 400.1g and with a volume of 72.2mL using the formula Density = Mass / Volume. The calculated density is approximately 5.54 g/mL, making this a great problem to practice basic arithmetic and ratio concepts. Suitable for Grades 6-8 students.

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