Conversion formula

The conversion factor from cups to cubic feet is 0.0083550347222188, which means that 1 cup is equal to 0.0083550347222188 cubic feet:

1 cup = 0.0083550347222188 ft3

To convert 509.8 cups into cubic feet we have to multiply 509.8 by the conversion factor in order to get the volume amount from cups to cubic feet. We can also form a simple proportion to calculate the result:

1 cup → 0.0083550347222188 ft3

509.8 cup → V_(ft3)

Solve the above proportion to obtain the volume V in cubic feet:

V_(ft3) = 509.8 cup × 0.0083550347222188 ft3

V_(ft3) = 4.2593967013871 ft3

The final result is:

509.8 cup → 4.2593967013871 ft3

We conclude that 509.8 cups is equivalent to 4.2593967013871 cubic feet:

509.8 cups = 4.2593967013871 cubic feet

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cubic foot is equal to 0.23477503273511 × 509.8 cups.

Another way is saying that 509.8 cups is equal to 1 ÷ 0.23477503273511 cubic feet.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that five hundred nine point eight cups is approximately four point two five nine cubic feet:

509.8 cup ≅ 4.259 ft3

An alternative is also that one cubic foot is approximately zero point two three five times five hundred nine point eight cups.

Conversion table

cups to cubic feet chart

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