Converting inches to feet is a straightforward exercise. Problems can come up when you turn your inches into cubes. These two example problems will show how to convert in^{3} to ft^{3} and back again.

The conversion factor between in^{3} and ft^{3} is

1728 in^{3} = 1 ft^{3}

How do you get this value? Start with the conversion between inches and feet.

12 inches = 1 foot

A cubic foot is a cube 1 foot wide, 1 foot tall, and 1 foot deep.

1 ft^{3} = 1 ft x 1 ft x 1ft

Substitute the conversion factor to get the inch units.

1 ft^{3} = (12 inches) x (12 inches) x (12 inches)

1 ft^{3} = 123 in^{3}

1 ft^{3} = 1728 in^{3}

### in^{3} to ft^{3} Conversion Example Problem

**Question:** How many cubic feet are in 25,920 cubic inches?

**Solution:** Multiply the conversion factor to the 25,920 in^{3}. Put the unit you want to be canceled out in the denominator.

This allows us to cancel out the unnecessary units, leaving only the unit we want.

25,920 in^{3} = 15 ft^{3}

**Answer:** 25,920 cubic inches is equal to 15 cubic feet.

### ft^{3} to in^{3} Conversion Example Problem

**Question:** How many cubic inches are in 4 cubic feet?

**Solution:** Multiply the conversion factor to the 4 ft^{3}. Put the unit you want to cancel in the denominator.

Setting it up this way allows us to lose the unwanted ft^{3} unit.

4 ft^{3} = 6,912 in^{3}

**Answer:** There are 6,912 cubic inches in 4 cubic feet.