To calculate the density of the metal, we will use the formula for density:

$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$

Step 1: Find the volume of the metal

The volume of a rectangular solid is calculated by multiplying its length, width, and height:

$\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$

Given:

• Length = 2.0 cm
• Width = 3.0 cm
• Height = 2.0 cm

$\text{Volume} = 2.0 \, \text{cm} \times 3.0 \, \text{cm} \times 2.0 \, \text{cm} = 12.0 \, \text{cm}^3$

Step 2: Use the density formula

Now, using the mass of 54 grams and the volume of 12.0 cm³, we can calculate the density:

$\text{Density} = \frac{54 \, \text{g}}{12.0 \, \text{cm}^3} = 4.5 \, \text{g/cm}^3$

Final Answer:

The density of the metal is 4.5 g/cm³.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. What is the importance of density in identifying materials?
2. How would the density change if the metal were hollow?
3. Can you convert the density to kg/m³?
4. How is density related to buoyancy in liquids?
5. What happens to the density of a material if its temperature increases?

Tip: Remember, density can vary slightly with temperature because volume can expand or contract depending on heat.