Xiaohong and Xiaoqin wanted to make a cuboid frame by themselves when they participated in the mathematics practice activities in the school, so they found a 240 cm long iron wire. A cuboid frame with a ratio of 3:2:1, and glue each surface with paper, so what is the volume of the cuboid that has been glued?
小红和小芹在参加学校的数学实践活动时，想自己制作一个长方体框架，于是她们找来一根长240厘米的铁丝，通过几次摸索，很快就围成了一个长、宽、高之比为3：2：1的长方体框架，并用纸将各个面粘起来，那么粘好的这个长方体体积是多少？
<gadget id="calculator">240 / 4</gadget>
<output>60</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">60 * (1/2)</gadget>
<output>30</output>

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

<gadget id="calculator">60 * (1/3)</gadget>
<output>20</output>

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

<gadget id="calculator">60 * (1/6)</gadget>
<output>10</output>

<gadget id="calculator">30 * 20 * 10</gadget>
<output>6_000</output>

<result>6_000</result>