This example problem demonstrates how to convert cubic meters to cubic feet.

How many cubic feet of space is enclosed by a box measuring 2m x 2m x 3m?

### Solution

**Step 1:** Find the volume of the box

Volume in m³ = 2m x 2m x 3m = 12 m³

**Step 2:** Determine how many cubic feet are in 1 cubic meter

1 m = 3.28084 ft

(1 m)³ = (3.28084 ft)³

1 m³ = 35.315 ft³

**Step 3:** Convert m³ to ft³

Set up the conversion so the desired unit will be cancelled out.

In this case, we want ft³ to be the remaining unit.

Volume in ft³ = Volume in m³ x 35.315 ft³/1 m³

Volume in ft³ = 12 m³ x 35.315 ft³/1 m³

Volume in ft³ = 423.8 ft³

### Answer

The volume of space, in cubic feet, enclosed by a box measuring 2m x 2m x 3m is 423.8 ft³

Cubic Feet To Cubic Meters Example Problem

You can work the conversion the other way. As a simple example, convert 50.0 cubic feet to cubic meters.

Start with the conversion factor: 1 m^{3} = 35.315 ft^{3} or 1 ft^{3} = 0.0283 m^{3}

It doesn't matter which conversion factor you use, providing you set up the problem correctly.

volume in cubic meters = 50.0 cubic feet x (1 cubic meter / 35.315 cubic feet)

The cubic feet will cancel out, leaving cubic meters:

Volume in cubic meters is 1.416 m^{3}