513 US gallons in imperial cups

Conversion

513 US gallons is equivalent to 6834.58970743474 imperial cups.^[1]

Conversion formula
How to convert 513 US gallons to imperial cups?

We know (by definition) that: $1 usgallon \approx 13.3227869540638 brcup$

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

\frac{1 usgallon}{513 usgallon} \approx \frac{13.3227869540638 brcup}{x brcup}

Now, we cross multiply to solve for our unknown $x$ :

x brcup \approx \frac{513 usgallon}{1 usgallon} * 13.3227869540638 brcup \to x brcup \approx 6834.5897074347295 brcup

Conclusion: $513 usgallon \approx 6834.5897074347295 brcup$

513 US gallons is equivalent to 6834.58970743474 imperial cups

Conversion in the opposite direction

The inverse of the conversion factor is that 1 imperial cup is equal to 0.000146314562074178 times 513 US gallons.

It can also be expressed as: 513 US gallons is equal to $\frac{1}{0.000146314562074178}$ imperial cups.

Approximation

An approximate numerical result would be: five hundred and thirteen US gallons is about six thousand, eight hundred and thirty-four point five nine imperial cups, or alternatively, a imperial cup is about zero times five hundred and thirteen US gallons.

Units involved

This is how the units in this conversion are defined:

Us Gallons

"The US gallon is legally defined as 231 cubic inches, which is exactly 3.785411784 liters.[2][3] A US liquid gallon of water weighs about 8.34 pounds or 3.78 kilograms at 62 °F (17 °C), making it about 16.6% lighter than the imperial gallon. There are four quarts in a gallon, two pints in a quart and 16 US fluid ounces in a US pint, which makes the US fluid ounce equal to 1⁄128 of a US gallon."

Wikipedia page of US gallons

Imperial Cups

"The cup is a unit of measurement for volume, used in cooking to measure liquids (fluid measurement) and bulk foods such as granulated sugar (dry measurement). The imperial cup is half an imperial pint. It is no longer in common use, but many recipe books still include it."

Wikipedia page of imperial 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.

Conversion

Conversion formula How to convert 513 US gallons to imperial cups?

Conversion in the opposite direction

Approximation

Conversion formula
How to convert 513 US gallons to imperial cups?