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 1046.8 cups into cubic feet we have to multiply 1046.8 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

1046.8 cup → V_(ft3)

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

V_(ft3) = 1046.8 cup × 0.0083550347222188 ft3

V_(ft3) = 8.7460503472186 ft3

The final result is:

1046.8 cup → 8.7460503472186 ft3

We conclude that 1046.8 cups is equivalent to 8.7460503472186 cubic feet:

1046.8 cups = 8.7460503472186 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 0.1143373248838 × 1046.8 cups.

Another way is saying that 1046.8 cups is equal to 1 ÷ 0.1143373248838 cubic feet.

Approximate result

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

1046.8 cup ≅ 8.746 ft3

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