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 5009 cubic inches into cups we have to multiply 5009 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

5009 in3 → V_(cup)

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

V_(cup) = 5009 in3 × 0.069264069264221 cup

V_(cup) = 346.94372294448 cup

The final result is:

5009 in3 → 346.94372294448 cup

We conclude that 5009 cubic inches is equivalent to 346.94372294448 cups:

5009 cubic inches = 346.94372294448 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.002882311838684 × 5009 cubic inches.

Another way is saying that 5009 cubic inches is equal to 1 ÷ 0.002882311838684 cups.

Approximate result

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

5009 in3 ≅ 346.944 cup

An alternative is also that one cup is approximately zero point zero zero three times five thousand 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