# 32 US gallons in US customary cups

## Conversion

32 US gallons is equivalent to 512 US customary cups.^{[1]}

## Conversion formula

How to convert 32 US gallons to US customary cups?

We know (by definition) that: $1\mathrm{usgallon}\approx 16\mathrm{uscup}$

We can set up a proportion to solve for the number of US customary cups.

$\frac{1\mathrm{usgallon}}{32\mathrm{usgallon}}\approx \frac{16\mathrm{uscup}}{x\mathrm{uscup}}$Now, we cross multiply to solve for our unknown $x$:

$x\mathrm{uscup}\approx \frac{32\mathrm{usgallon}}{1\mathrm{usgallon}}*16\mathrm{uscup}\to x\mathrm{uscup}\approx 512\mathrm{uscup}$Conclusion: $32\mathrm{usgallon}\approx 512\mathrm{uscup}$

## Conversion in the opposite direction

The inverse of the conversion factor is that **1 US customary cup is equal to 0.001953125 times 32 US gallons**.

It can also be expressed as: 32 US gallons is equal to $\frac{1}{\mathrm{0.001953125}}$ US customary cups.

## Approximation

An approximate numerical result would be: **thirty-two US gallons is about five hundred and twelve US customary cups**, or alternatively, *a US customary cup is about zero times thirty-two US gallons*.

## 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.