Conversion formula

The conversion factor from cups to cubic inches is 14.437499999968, which means that 1 cup is equal to 14.437499999968 cubic inches:

1 cup = 14.437499999968 in3

To convert 13.7 cups into cubic inches we have to multiply 13.7 by the conversion factor in order to get the volume amount from cups to cubic inches. We can also form a simple proportion to calculate the result:

1 cup → 14.437499999968 in3

13.7 cup → V_(in3)

Solve the above proportion to obtain the volume V in cubic inches:

V_(in3) = 13.7 cup × 14.437499999968 in3

V_(in3) = 197.79374999957 in3

The final result is:

13.7 cup → 197.79374999957 in3

We conclude that 13.7 cups is equivalent to 197.79374999957 cubic inches:

13.7 cups = 197.79374999957 cubic inches

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cubic inch is equal to 0.0050557714791402 × 13.7 cups.

Another way is saying that 13.7 cups is equal to 1 ÷ 0.0050557714791402 cubic inches.

Approximate result

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

13.7 cup ≅ 197.794 in3

An alternative is also that one cubic inch is approximately zero point zero zero five times thirteen point seven cups.

Conversion table

cups to cubic inches chart

For quick reference purposes, below is the conversion table you can use to convert from cups to cubic inches