The sum of the edge lengths of a cuboid is 144 decimeters, and the ratio of length, width, and height is 4:3:2. Find the volume of the cuboid.
一个长方体的棱长总和是144分米，长、宽、高的比为4：3：2，求长方体的体积．
<gadget id="calculator">144 / 4</gadget>
<output>36</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">36 * (4/9)</gadget>
<output>16</output>

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

<gadget id="calculator">36 * (1/3)</gadget>
<output>12</output>

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

<gadget id="calculator">36 * (2/9)</gadget>
<output>8</output>

<gadget id="calculator">16 * 12 * 8</gadget>
<output>1_536</output>

<result>1_536</result>