# 670 US customary cups in liters

## Conversion

670 US customary cups is equivalent to 158.514118455 liters.^{[1]}

## Conversion formula

How to convert 670 US customary cups to liters?

We know (by definition) that: $1\mathrm{uscup}\approx 0.2365882365\mathrm{liter}$

We can set up a proportion to solve for the number of liters.

$\frac{1\mathrm{uscup}}{670\mathrm{uscup}}\approx \frac{0.2365882365\mathrm{liter}}{x\mathrm{liter}}$Now, we cross multiply to solve for our unknown $x$:

$x\mathrm{liter}\approx \frac{670\mathrm{uscup}}{1\mathrm{uscup}}*0.2365882365\mathrm{liter}\to x\mathrm{liter}\approx 158.514118455\mathrm{liter}$Conclusion: $670\mathrm{uscup}\approx 158.514118455\mathrm{liter}$

## Conversion in the opposite direction

The inverse of the conversion factor is that **1 liter is equal to 0.00630858632497071 times 670 US customary cups**.

It can also be expressed as: 670 US customary cups is equal to $\frac{1}{\mathrm{0.00630858632497071}}$ liters.

## Approximation

An approximate numerical result would be: **six hundred and seventy US customary cups is about one hundred and fifty-eight point five zero liters**, or alternatively, *a liter is about zero point zero one times six hundred and seventy US customary cups*.

## 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.