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 420.7 cups into cubic feet we have to multiply 420.7 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

420.7 cup → V_(ft3)

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

V_(ft3) = 420.7 cup × 0.0083550347222188 ft3

V_(ft3) = 3.5149631076374 ft3

The final result is:

420.7 cup → 3.5149631076374 ft3

We conclude that 420.7 cups is equivalent to 3.5149631076374 cubic feet:

420.7 cups = 3.5149631076374 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 0.28449800734101 × 420.7 cups.

Another way is saying that 420.7 cups is equal to 1 ÷ 0.28449800734101 cubic feet.

Approximate result

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

420.7 cup ≅ 3.515 ft3

An alternative is also that one cubic foot is approximately zero point two eight four times four hundred twenty point seven 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