cup(US) a yd3 convertidor - Taza estadounidense a Yarda cúbica

Conversion derivation

Express both cup(US) and yd3 in the same base unit m3 (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite cup(US) in the base unit

   $$1\mathrm{cup}(\mathrm{US})=0.000236588m3$$
2. 2

   Rewrite yd3 in the base unit

   $$1yd3=0.764555m3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cup}(\mathrm{US})& =\frac{0.000236588\cancel{m3}}{0.764555\cancel{m3}}\times 1yd3\\ & =\frac{0.000236588}{0.764555}yd3\\ & =0.000309445364yd3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1yd3& =\frac{0.764555\cancel{m3}}{0.000236588\cancel{m3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{0.764555}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =3,231.58824623\mathrm{cup}(\mathrm{US})\end{array}$$