ft³ to cm³ Converter - Cubic Foot to Cubic Centimeter

Conversion derivation

Express both ft³ and cm³ in the same base unit m³ (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite ft³ in the base unit

   $$1\mathrm{f}{\mathrm{t}}^3=0.0283168{\mathrm{m}}^3$$
2. 2

   Rewrite cm³ in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^3& =\frac{0.0283168\cancel{{\mathrm{m}}^3}}{0.000001\cancel{{\mathrm{m}}^3}}\times 1\mathrm{c}{\mathrm{m}}^3\\ & =\frac{0.0283168}{0.000001}\mathrm{c}{\mathrm{m}}^3\\ & =28,316.8\mathrm{c}{\mathrm{m}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{c}{\mathrm{m}}^3& =\frac{0.000001\cancel{{\mathrm{m}}^3}}{0.0283168\cancel{{\mathrm{m}}^3}}\times 1\mathrm{f}{\mathrm{t}}^3\\ & =\frac{0.000001}{0.0283168}\mathrm{f}{\mathrm{t}}^3\\ & =0.000035314725\mathrm{f}{\mathrm{t}}^3\end{array}$$