Volume Conversion 282B91
1. The problem asks to convert a volume measurement from cubic millimeters (mm³) to cubic centimeters (cm³).
2. We are given the conversion factor: $10\text{ mm} = 1\text{ cm}$.
3. Since volume is a cubic measurement, we cube both sides of the length conversion to convert volumes:
$$ (10\text{ mm})^3 = (1\text{ cm})^3 $$
$$ 10^3 \text{ mm}^3 = 1 \text{ cm}^3 $$
$$ 1000 \text{ mm}^3 = 1 \text{ cm}^3 $$
4. This means that 1 cubic centimeter equals 1000 cubic millimeters.
5. To convert from cubic millimeters to cubic centimeters, divide the volume in mm³ by 1000:
$$ \text{Volume in cm}^3 = \frac{\text{Volume in mm}^3}{1000} $$
6. For example, if you have $V$ mm³, then in cm³ it is $\frac{V}{1000}$.
Final answer: To convert cubic millimeters to cubic centimeters, divide by 1000.