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 5646 cups into cubic feet we have to multiply 5646 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

5646 cup → V_(ft3)

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

V_(ft3) = 5646 cup × 0.0083550347222188 ft3

V_(ft3) = 47.172526041647 ft3

The final result is:

5646 cup → 47.172526041647 ft3

We conclude that 5646 cups is equivalent to 47.172526041647 cubic feet:

5646 cups = 47.172526041647 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 0.021198779966058 × 5646 cups.

Another way is saying that 5646 cups is equal to 1 ÷ 0.021198779966058 cubic feet.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that five thousand six hundred forty-six cups is approximately forty-seven point one seven three cubic feet:

5646 cup ≅ 47.173 ft3

An alternative is also that one cubic foot is approximately zero point zero two one times five thousand six hundred forty-six 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