For a cuboid, the sum of the lengths of all sides is 240 cm, and the ratio of its length, width, and height is 3:2:1. What is the volume of this cuboid in cubic centimeters?
一个长方体，所有棱长之和是240厘米，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">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>