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To solve this problem, we need to convert the measurement from grams per cubic centimeter \(\frac{g}{cm^3}\) to grams per cubic meter \(\frac{g}{m^3}\). 

We are given:
\[
0.030 \frac{g}{cm^3} \times \text{(missing part)} = ? \frac{g}{m^3}
\]

To convert from \(\frac{g}{cm^3}\) to \(\frac{g}{m^3}\), we need to understand the relationship between \(cm^3\) and \(m^3\). 

### Conversion Factor
1 meter is equal to 100 centimeters, so:
\[
1 \, m = 100 \, cm
\]

Since we are dealing with cubic units:
\[
1 \, m^3 = (100 \, cm)^3 = 100^3 \, cm^3 = 1,000,000 \, cm^3
\]

### Setting Up the Equation
To convert \(\frac{g}{cm^3}\) to \(\frac{g}{m^3}\), we multiply by a factor of \(1,000,000 \, \frac{cm^3}{m^3}\):
\[
0.030 \frac{g}{cm^3} \times 1,000,000 = 30,000 \frac{g}{m^3}
\]

### Answer
The missing part in the equation is \(1,000,000\), so:

\[
0.030 \frac{g}{cm^3} \times 1,000,000 = 30,000 \frac{g}{m^3}
\]

Would you like more details on unit conversions, or have any further questions?

---

1. What is the conversion process between cubic centimeters and cubic meters?
2. How would you convert other units like \(\frac{g}{mm^3}\) to \(\frac{g}{m^3}\)?
3. Why is it important to understand cubic conversions in measurements?
4. How does converting area units (e.g., \(cm^2\) to \(m^2\)) differ from converting volume units?
5. Can you apply a similar conversion process for liquid measurements like liters to milliliters?

**Tip:** Remember, when converting units involving squares or cubes, apply the conversion factor to each dimension. For instance, \(1 \, m^3 = 100 \times 100 \times 100 \, cm^3\).

A student sets up the following equation to convert a measurement: \(0.030 \frac{g}{cm^3} \times \text{(missing part)} = ? \frac{g}{m^3}\). Fill in the missing part of this equation.

Learn how to convert a measurement from grams per cubic centimeter (g/cm³) to grams per cubic meter (g/m³). This problem covers key unit conversion concepts and includes step-by-step instructions for converting volume measurements by applying a conversion factor.

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