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 490 cubic inches into cups we have to multiply 490 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

490 in3 → V_(cup)

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

V_(cup) = 490 in3 × 0.069264069264221 cup

V_(cup) = 33.939393939468 cup

The final result is:

490 in3 → 33.939393939468 cup

We conclude that 490 cubic inches is equivalent to 33.939393939468 cups:

490 cubic inches = 33.939393939468 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.029464285714221 × 490 cubic inches.

Another way is saying that 490 cubic inches is equal to 1 ÷ 0.029464285714221 cups.

Approximate result

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

490 in3 ≅ 33.939 cup

An alternative is also that one cup is approximately zero point zero two nine times four hundred ninety 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