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 45.9 cubic inches into cups we have to multiply 45.9 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

45.9 in3 → V_(cup)

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

V_(cup) = 45.9 in3 × 0.069264069264221 cup

V_(cup) = 3.1792207792277 cup

The final result is:

45.9 in3 → 3.1792207792277 cup

We conclude that 45.9 cubic inches is equivalent to 3.1792207792277 cups:

45.9 cubic inches = 3.1792207792277 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.31454248365944 × 45.9 cubic inches.

Another way is saying that 45.9 cubic inches is equal to 1 ÷ 0.31454248365944 cups.

Approximate result

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

45.9 in3 ≅ 3.179 cup

An alternative is also that one cup is approximately zero point three one five times forty-five point nine 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