The sum of the lengths of a cuboid is 220 cm, the ratio of length to width is 2:1, and the ratio of width to height is 3:2, what is the volume of this cuboid in cubic centimeters?
一个长方体棱长总和是220厘米，长与宽的比是2：1，宽与高的比例是3：2，这个长方体体积是多少立方厘米？
<gadget id="calculator">2 * 4</gadget>
<output>8</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(2/3) * 4</gadget>
<output>8/3 = around 2.666667</output>

<gadget id="calculator">8 + 4 + (8/3)</gadget>
<output>44/3 = around 14.666667</output>

<gadget id="calculator">220 / (44/3)</gadget>
<output>15</output>

<gadget id="calculator">15 * 15 * 2 * 15 * (2/3)</gadget>
<output>4_500</output>

<result>4_500</result>