An unknown solid has a density of 5 g/cm3 and a mass of 95.3 g. Calculate the volume of the solid in cm3.

1. ### Break Down the Problem

To find the volume of the solid, we need to use the formula that relates mass, density, and volume. The formula is: $\text{Density} = \frac{\text{Mass}}{\text{Volume}}$ From this, we can rearrange the formula to solve for volume: $\text{Volume} = \frac{\text{Mass}}{\text{Density}}$

2. ### Relevant Concepts

• Density ($d$) is defined as mass ($m$) per unit volume ($V$).
• Given:
  • Density $d = 5 \, \text{g/cm}^3$
  • Mass $m = 95.3 \, \text{g}$

3. ### Analysis and Detail

Using the rearranged formula, we can calculate the volume. We substitute the known values into the formula: $V = \frac{m}{d} = \frac{95.3 \, \text{g}}{5 \, \text{g/cm}^3}$ Now, perform the calculation: $V = 19.06 \, \text{cm}^3$

4. ### Verify and Summarize

To verify:

• Check the units: When dividing grams by grams per cubic centimeter, the units correctly simplify to cubic centimeters.
• The calculations were performed accurately, confirming the result.

Final Answer

The volume of the solid is $19.06 \, \text{cm}^3$.