cm² in ft² Umrechner - Quadratzentimeter in Quadratfuß

Conversion derivation

Express both cm² and ft² 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 ft² in the base unit

   $$1\mathrm{f}{\mathrm{t}}^2=0.092903{\mathrm{m}}^2$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{c}{\mathrm{m}}^2& =\frac{0.0001\cancel{{\mathrm{m}}^2}}{0.092903\cancel{{\mathrm{m}}^2}}\times 1\mathrm{f}{\mathrm{t}}^2\\ & =\frac{0.0001}{0.092903}\mathrm{f}{\mathrm{t}}^2\\ & =0.001076391505\mathrm{f}{\mathrm{t}}^2\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^2& =\frac{0.092903\cancel{{\mathrm{m}}^2}}{0.0001\cancel{{\mathrm{m}}^2}}\times 1\mathrm{c}{\mathrm{m}}^2\\ & =\frac{0.092903}{0.0001}\mathrm{c}{\mathrm{m}}^2\\ & =929.03\mathrm{c}{\mathrm{m}}^2\end{array}$$