Use a piece of iron wire with a length of 432 decimeters, divide it into several sections as the edge lengths, and weld them into a cuboid so that the ratio of the length, width, and height of the cuboid is 3:2:4. Find the volume of the cuboid.
用一根长432分米的铁丝，分成几段作为棱长，焊接成一个长方体，使长方体的长、宽、高的比为3：2：4，求这个长方体的体积．
<gadget id="calculator">432 / 4</gadget>
<output>108</output>

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

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

<gadget id="calculator">108 * (1/3)</gadget>
<output>36</output>

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

<gadget id="calculator">108 * (2/9)</gadget>
<output>24</output>

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

<gadget id="calculator">108 * (4/9)</gadget>
<output>48</output>

<gadget id="calculator">36 * 24 * 48</gadget>
<output>41_472</output>

<result>41_472</result>