Calculate the density, grams/cm3, of a piece of metal. The rectangular piece of solid metal has the dimensions of 2.0cm, 3.0cm and 2.0cm. The unidentified metal has a mass of 54 grams.

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.

Calculate the density, grams/cm3, of a piece of metal. The rectangular piece of solid metal has the dimensions of 2.0cm, 3.0cm, and 2.0cm. The unidentified metal has a mass of 54 grams.

Learn how to calculate the density of a solid metal block with dimensions 2.0cm × 3.0cm × 2.0cm and a mass of 54 grams. This step-by-step solution uses the formula Density = Mass/Volume and covers core concepts of density and volume calculation. Suitable for students in Grades 6-8.

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