The sum of the edge lengths of a cuboid is 108cm, and the ratio of its length, width, and height is 4:3:2. What is the volume of this cuboid?
一个长方体的棱长总和是108cm，它的长、宽、高的比是4：3：2，这个长方体的体积是多少？
<gadget id="calculator">108 / 4</gadget>
<output>27</output>

<gadget id="calculator">4 + 3 + 2</gadget>
<output>9</output>

<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>

<gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">27 * (1/3)</gadget>
<output>9</output>

<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>

<gadget id="calculator">27 * (4/9) * 9 * 27 * (2/9)</gadget>
<output>648</output>

<result>648</result>