Conversion formula

The conversion factor from cubic inches to cups is 0.069264069264221, which means that 1 cubic inch is equal to 0.069264069264221 cups:

1 in3 = 0.069264069264221 cup

To convert 509.7 cubic inches into cups we have to multiply 509.7 by the conversion factor in order to get the volume amount from cubic inches to cups. We can also form a simple proportion to calculate the result:

1 in3 → 0.069264069264221 cup

509.7 in3 → V_(cup)

Solve the above proportion to obtain the volume V in cups:

V_(cup) = 509.7 in3 × 0.069264069264221 cup

V_(cup) = 35.303896103974 cup

The final result is:

509.7 in3 → 35.303896103974 cup

We conclude that 509.7 cubic inches is equivalent to 35.303896103974 cups:

509.7 cubic inches = 35.303896103974 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.028325485579691 × 509.7 cubic inches.

Another way is saying that 509.7 cubic inches is equal to 1 ÷ 0.028325485579691 cups.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that five hundred nine point seven cubic inches is approximately thirty-five point three zero four cups:

509.7 in3 ≅ 35.304 cup

An alternative is also that one cup is approximately zero point zero two eight times five hundred nine point seven cubic inches.

Conversion table

cubic inches to cups chart

For quick reference purposes, below is the conversion table you can use to convert from cubic inches to cups