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 1646 cups into cubic feet we have to multiply 1646 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

1646 cup → V_(ft3)

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

V_(ft3) = 1646 cup × 0.0083550347222188 ft3

V_(ft3) = 13.752387152772 ft3

The final result is:

1646 cup → 13.752387152772 ft3

We conclude that 1646 cups is equivalent to 13.752387152772 cubic feet:

1646 cups = 13.752387152772 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 0.072714648656355 × 1646 cups.

Another way is saying that 1646 cups is equal to 1 ÷ 0.072714648656355 cubic feet.

Approximate result

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

1646 cup ≅ 13.752 ft3

An alternative is also that one cubic foot is approximately zero point zero seven three times one 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