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 746.7 cubic inches into cups we have to multiply 746.7 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

746.7 in3 → V_(cup)

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

V_(cup) = 746.7 in3 × 0.069264069264221 cup

V_(cup) = 51.719480519594 cup

The final result is:

746.7 in3 → 51.719480519594 cup

We conclude that 746.7 cubic inches is equivalent to 51.719480519594 cups:

746.7 cubic inches = 51.719480519594 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.019335074326997 × 746.7 cubic inches.

Another way is saying that 746.7 cubic inches is equal to 1 ÷ 0.019335074326997 cups.

Approximate result

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

746.7 in3 ≅ 51.719 cup

An alternative is also that one cup is approximately zero point zero one nine times seven hundred forty-six point seven 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