A piece of asphalt has a volume of 57cubic centimeters and a mass of 114grams. What is its density?

1. Break Down the Problem

To find the density of the asphalt, we need to use the formula for density. Density (ρ) is defined as mass (m) divided by volume (V): $\rho = \frac{m}{V}$

2. Relevant Concepts

We will use the formula for density: $\rho = \frac{m}{V}$ Where:

• $\rho$ = density (grams per cubic centimeter, g/cm³)
• $m$ = mass (grams, g)
• $V$ = volume (cubic centimeters, cm³)

3. Analysis and Detail

Given:

• Mass $m = 114 \, \text{g}$
• Volume $V = 57 \, \text{cm}^3$

Now we can calculate the density: $\rho = \frac{114 \, \text{g}}{57 \, \text{cm}^3}$

4. Verify and Summarize

Calculating the density step-by-step: $\rho = \frac{114}{57} = 2 \, \text{g/cm}^3$

Final Answer

The density of the asphalt is $2 \, \text{g/cm}^3$.