To determine the correct answer, let's solve the problem step-by-step:

Problem Information:

• Formula: $D = \frac{m}{V}$, where:
  • $D$ is the density in grams per cubic centimeter,
  • $m$ is the mass in grams,
  • $V$ is the volume in cubic centimeters.
• Given values:
  • $D = 2.00 \, \text{g/cm}^3$,
  • $m = 0.5 \, \text{g}$.

We need to find the volume, $V$, and verify which statement is correct.

Rearrange the Formula:

To find $V$, rearrange the formula: $V = \frac{m}{D}$

Substituting Values:

$V = \frac{0.5}{2.00} = 0.25 \, \text{cm}^3$

Conclusion:

The correct answer is A, which states: "The volume is 0.25 cubic centimeters because $V = \frac{m}{D}$."

Would you like additional clarification or details?

5 Related Questions:

1. What is the relationship between mass, density, and volume in real-world applications?
2. How does the rearrangement of a formula help solve word problems?
3. What are common units for density, and how do they affect calculations?
4. How can we verify that our calculations are consistent in physics problems?
5. Why is it important to use consistent units in density calculations?

Tip:

Always check that your units for mass, volume, and density align with the formula to avoid calculation errors!