Use 180cm long iron wire to make a rectangular parallelepiped frame. The ratio of length, width and height is 3:2:4. What is the maximum cubic centimeter of space occupied by this rectangular parallelepiped?
用180cm长的铁丝，做一个长方体框架，长、宽、高的比是3：2：4，这个长方体所占的空间最大是多少立方厘米？
<gadget id="calculator">180 / 4</gadget>
<output>45</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">45 * (1/3)</gadget>
<output>15</output>

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

<gadget id="calculator">45 * (2/9)</gadget>
<output>10</output>

<gadget id="calculator">45 - 15 - 10</gadget>
<output>20</output>

<gadget id="calculator">15 * 10 * 20</gadget>
<output>3_000</output>

<result>3_000</result>