**Problem:**

What is this volume of 1 cubic foot in liters?

**Solution:**

Many conversion factors are difficult to remember. Cubic feet to liters would fall into this category. The unit cancelling method is useful to perform this kind of conversion. It uses multiple easily remembered conversions to relate the original units to the final units.

1 foot = 12 inches

1 inch = 2.54 centimeters

1000 cubic centimeters = 1 liter

Using these steps we can express a feet to centimeters as:

distance in cm = (distance in ft) x (12 in/1 ft) x (2.54 cm/1 in)

distance in cm = (distance in ft) x 30.48 cm/ft

Now we need to convert these distances into volume measurements of cm

^{3}and ft

^{3}.

Cube Volume = (linear measurement)

^{3}, so

volume in cm

^{3}= [(distance in feet) x 30.48 cm/ft]

^{3}

volume in cm

^{3}= (volume in ft

^{3}) x 28316.85 cm

^{3}/ft

^{3}

Now we can convert cubic centimeters to liters

volume in liters = (volume in cm

^{3}) x (1 L/1000 cm

^{3})

volume in liters = (volume in cm

^{3})/1000 L/cm

^{3}

Insert the cubic volume from the previous step: volume in liters = [(volume in ft

^{3}) x 28316.85 cm

^{3}/ft

^{3})]/1000 L/cm

^{3}

volume in liters = (volume in ft

^{3}) x 28.317 L/ft

^{3}

Now we have our conversion factor of cubic feet to liters. Insert 1 cubic foot into the volume in ft

^{3}part of the equation

volume in liters = (1 ft

^{3}) x 28.317 L/ft

^{3}

volume in liters = 28.317 L

**Answer:**

One cubic foot is equal to 28.317 liters of volume.