To convert from meters cubed to centimeters cubed, the conversion factor changes from 10^-2 to 10^6. This is because when cubing the conversion factor for linear measurements, you must cube both sides of the equation. Therefore, 1 meter equals 10^2 centimeters, and when cubed, it results in 1 cubic meter equaling 10^6 cubic centimeters. This highlights the significant difference in scale when dealing with volume conversions compared to linear measurements. Understanding this conversion is essential for accurate calculations in various applications.