piece of iron wire with a length of 432 cm is cut off (2/3), and the remaining part is welded into a cuboid, and the ratio of its length, width and height is 3:2:1. What is the volume of this cuboid in cubic centimeters ?
一根长432厘米的铁丝，截去(2/3)，用剩下的部分焊接成一个长方体，并使它的长宽高的比是3：2：1，这个长方体的体积是多少立方厘米？
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">432 * (2/3)</gadget>
<output>288</output>

<gadget id="calculator">432 - 288</gadget>
<output>144</output>

<gadget id="calculator">3 + 2 + 1</gadget>
<output>6</output>

<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">144 * (1/2)</gadget>
<output>72</output>

<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">144 * (1/3)</gadget>
<output>48</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">144 * (1/6)</gadget>
<output>24</output>

<gadget id="calculator">72 * 48 * 24</gadget>
<output>82_944</output>

<result>82_944</result>