cm a ft convertidor - Centímetro a Pie

Conversion derivation

Express both cm and ft in the same base unit m (meter), then cancel the shared base unit.

1. 1

   Rewrite cm in the base unit

   $$1\mathrm{cm}=0.01\mathrm{m}$$
2. 2

   Rewrite ft in the base unit

   $$1\mathrm{ft}=0.3048\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cm}& =\frac{0.01\cancel{\mathrm{m}}}{0.3048\cancel{\mathrm{m}}}\times 1\mathrm{ft}\\ & =\frac{0.01}{0.3048}\mathrm{ft}\\ & =0.03280839895\mathrm{ft}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ft}& =\frac{0.3048\cancel{\mathrm{m}}}{0.01\cancel{\mathrm{m}}}\times 1\mathrm{cm}\\ & =\frac{0.3048}{0.01}\mathrm{cm}\\ & =30.48\mathrm{cm}\end{array}$$