Subjects unit conversion

Volume Conversion 282B91

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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.