Conversion formula

The conversion factor from cubic inches to cups is 0.069264069264221, which means that 1 cubic inch is equal to 0.069264069264221 cups:

1 in3 = 0.069264069264221 cup

To convert 420 cubic inches into cups we have to multiply 420 by the conversion factor in order to get the volume amount from cubic inches to cups. We can also form a simple proportion to calculate the result:

1 in3 → 0.069264069264221 cup

420 in3 → V_(cup)

Solve the above proportion to obtain the volume V in cups:

V_(cup) = 420 in3 × 0.069264069264221 cup

V_(cup) = 29.090909090973 cup

The final result is:

420 in3 → 29.090909090973 cup

We conclude that 420 cubic inches is equivalent to 29.090909090973 cups:

420 cubic inches = 29.090909090973 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.034374999999925 × 420 cubic inches.

Another way is saying that 420 cubic inches is equal to 1 ÷ 0.034374999999925 cups.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that four hundred twenty cubic inches is approximately twenty-nine point zero nine one cups:

420 in3 ≅ 29.091 cup

An alternative is also that one cup is approximately zero point zero three four times four hundred twenty cubic inches.

Conversion table

cubic inches to cups chart

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