Conversion formula

The conversion factor from cubic feet to gallons is 7.4805194805226, which means that 1 cubic foot is equal to 7.4805194805226 gallons:

1 ft3 = 7.4805194805226 gal

To convert 46.4 cubic feet into gallons we have to multiply 46.4 by the conversion factor in order to get the volume amount from cubic feet to gallons. We can also form a simple proportion to calculate the result:

1 ft3 → 7.4805194805226 gal

46.4 ft3 → V_(gal)

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

V_(gal) = 46.4 ft3 × 7.4805194805226 gal

V_(gal) = 347.09610389625 gal

The final result is:

46.4 ft3 → 347.09610389625 gal

We conclude that 46.4 cubic feet is equivalent to 347.09610389625 gallons:

46.4 cubic feet = 347.09610389625 gallons

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 gallon is equal to 0.0028810464559375 × 46.4 cubic feet.

Another way is saying that 46.4 cubic feet is equal to 1 ÷ 0.0028810464559375 gallons.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that forty-six point four cubic feet is approximately three hundred forty-seven point zero nine six gallons:

46.4 ft3 ≅ 347.096 gal

An alternative is also that one gallon is approximately zero point zero zero three times forty-six point four cubic feet.

Conversion table

cubic feet to gallons chart

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