Answer:
0.2365882365 L/cup
Step-by-step explanation:
The conversion factor can be found from the size of a cup in relation to a gallon, and the size of a cubic inch in relation to a liter.
[tex]1\,\text{cup}=8\,\text{fl oz}\times\dfrac{231\,in^{3}}{128\,\text{fl oz}}\times\left(\dfrac{0.254\,\text{dm}}{1\,\text{in}}\right)^{3}\times\dfrac{1\,L}{1\,dm^{3}}\\\\=\dfrac{8\cdot 231\cdot 0.254^{3}}{128}\,L=0.2365882365\,L[/tex]