Converting Cubic Meters to Cubic Feet

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

Problem:

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