A piece of metal has a mass of 60 g and a volume of 3 cm^3, what is the density of the metal?

1. Break Down the Problem

To find the density of the metal, we need to use the formula for density, which is given by:

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

We have:

• Mass = 60 g
• Volume = 3 cm³

2. Relevant Concepts

The density of a substance is a measure of how much mass is contained in a given volume. The formula to calculate density is straightforward and involves dividing mass by volume.

3. Analysis and Detail

Now we will calculate the density using the provided values:

$\text{Density} = \frac{60 \text{ g}}{3 \text{ cm}^3}$

Carrying out the calculation:

$\text{Density} = 20 \text{ g/cm}^3$

4. Verify and Summarize

To verify, we can check the math again:

1. The mass is 60 g and the volume is 3 cm³.
2. Upon dividing, $\frac{60}{3} = 20$.

Thus, the calculation is correct.

Final Answer

The density of the metal is $20 \text{ g/cm}^3$.