182 imperial quarts in US customary cups
Result
The conversion result is: 182 imperial quarts is equivalent to 874.291545767535 US customary cups.[1]
Conversion formula
How to convert 182 imperial quarts to US customary cups?
We know (by definition) that: 1 imperialquart ≈ 4.80379970201942 uscup.
We can set up a proportion to solve for the number of US customary cups.
1 imperialquart / 182 imperialquart ≈ 4.80379970201942 uscup / x uscup
Now, we cross multiply to solve for our unknown x:
x uscup ≈ (182 imperialquart / 1 imperialquart) * 4.80379970201942 uscup → x uscup ≈ 874.2915457675344 uscup
Conclusion:
182 imperialquart ≈ 874.2915457675344 uscup

Conversion in the opposite direction
The inverse of the conversion factor is that 1 US customary cup is equal to 0.00114378322064422 times 182 imperial quarts.
It can also be expressed as: 182 imperial quarts is equal to 1 / 0.00114378322064422 US customary cups.
Approximation
An approximate numerical result would be: one hundred and eighty-two imperial quarts is about eight hundred and seventy-four point two eight US customary cups, or alternatively, a US customary cup is about zero times one hundred and eighty-two imperial quarts.
Footnotes
[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).
Results may contain small errors due to the use of floating point arithmetic.