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 4.7 cups into cubic inches we have to multiply 4.7 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

4.7 cup → V_(in3)

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

V_(in3) = 4.7 cup × 14.437499999968 in3

V_(in3) = 67.856249999851 in3

The final result is:

4.7 cup → 67.856249999851 in3

We conclude that 4.7 cups is equivalent to 67.856249999851 cubic inches:

4.7 cups = 67.856249999851 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 0.014737036013664 × 4.7 cups.

Another way is saying that 4.7 cups is equal to 1 ÷ 0.014737036013664 cubic inches.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that four point seven cups is approximately sixty-seven point eight five six cubic inches:

4.7 cup ≅ 67.856 in3

An alternative is also that one cubic inch is approximately zero point zero one five times four 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