Conversion formula

The conversion factor from cubic inches to quarts is 0.017316017316055, which means that 1 cubic inch is equal to 0.017316017316055 quarts:

1 in3 = 0.017316017316055 qt

To convert 46.6 cubic inches into quarts we have to multiply 46.6 by the conversion factor in order to get the volume amount from cubic inches to quarts. We can also form a simple proportion to calculate the result:

1 in3 → 0.017316017316055 qt

46.6 in3 → V_(qt)

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

V_(qt) = 46.6 in3 × 0.017316017316055 qt

V_(qt) = 0.80692640692818 qt

The final result is:

46.6 in3 → 0.80692640692818 qt

We conclude that 46.6 cubic inches is equivalent to 0.80692640692818 quarts:

46.6 cubic inches = 0.80692640692818 quarts

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 quart is equal to 1.2392703862634 × 46.6 cubic inches.

Another way is saying that 46.6 cubic inches is equal to 1 ÷ 1.2392703862634 quarts.

Approximate result

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

46.6 in3 ≅ 0.807 qt

An alternative is also that one quart is approximately one point two three nine times forty-six point six cubic inches.

Conversion table

cubic inches to quarts chart

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