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 1046.8 cubic inches into cups we have to multiply 1046.8 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

1046.8 in3 → V_(cup)

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

V_(cup) = 1046.8 in3 × 0.069264069264221 cup

V_(cup) = 72.505627705787 cup

The final result is:

1046.8 in3 → 72.505627705787 cup

We conclude that 1046.8 cubic inches is equivalent to 72.505627705787 cups:

1046.8 cubic inches = 72.505627705787 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.013792032862026 × 1046.8 cubic inches.

Another way is saying that 1046.8 cubic inches is equal to 1 ÷ 0.013792032862026 cups.

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 cubic inches is approximately seventy-two point five zero six cups:

1046.8 in3 ≅ 72.506 cup

An alternative is also that one cup is approximately zero point zero one four times one thousand forty-six point eight 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