ft³ in cup(US) Umrechner - Kubikfuß in Cup US

Conversion derivation

Express both ft³ and cup(US) 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 cup(US) in the base unit

   $$1\mathrm{cup}(\mathrm{US})=0.000236588{\mathrm{m}}^3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^3& =\frac{0.0283168\cancel{{\mathrm{m}}^3}}{0.000236588\cancel{{\mathrm{m}}^3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{0.0283168}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =119.688234399\mathrm{cup}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{cup}(\mathrm{US})& =\frac{0.000236588\cancel{{\mathrm{m}}^3}}{0.0283168\cancel{{\mathrm{m}}^3}}\times 1\mathrm{f}{\mathrm{t}}^3\\ & =\frac{0.000236588}{0.0283168}\mathrm{f}{\mathrm{t}}^3\\ & =0.008355040118\mathrm{f}{\mathrm{t}}^3\end{array}$$