cm² to mm² Converter - Square Centimeter to Square Millimeter

Conversion derivation

Express both cm² and mm² in the same base unit m² (square meter), then cancel the shared base unit.

1. 1

   Rewrite cm² in the base unit

   $$1\mathrm{c}{\mathrm{m}}^2=0.0001{\mathrm{m}}^2$$
2. 2

   Rewrite mm² in the base unit

   $$1\mathrm{m}{\mathrm{m}}^2=0.000001{\mathrm{m}}^2$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{c}{\mathrm{m}}^2& =\frac{0.0001\cancel{{\mathrm{m}}^2}}{0.000001\cancel{{\mathrm{m}}^2}}\times 1\mathrm{m}{\mathrm{m}}^2\\ & =\frac{0.0001}{0.000001}\mathrm{m}{\mathrm{m}}^2\\ & =100\mathrm{m}{\mathrm{m}}^2\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{m}{\mathrm{m}}^2& =\frac{0.000001\cancel{{\mathrm{m}}^2}}{0.0001\cancel{{\mathrm{m}}^2}}\times 1\mathrm{c}{\mathrm{m}}^2\\ & =\frac{0.000001}{0.0001}\mathrm{c}{\mathrm{m}}^2\\ & =0.01\mathrm{c}{\mathrm{m}}^2\end{array}$$