There is a cuboid wooden box, the sum of the lengths of all sides is 180 decimeters, the ratio of length, width and height is 4:3:2, what is the volume of this wooden box?
有一个长方体木箱，所有棱长之和是180分米，长、宽、高的比是4：3：2，这个木箱的体积是多少？
<gadget id="calculator">180 / 4</gadget>
<output>45</output>

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

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

<gadget id="calculator">45 * (4/9)</gadget>
<output>20</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">20 * 15 * 10</gadget>
<output>3_000</output>

<result>3_000</result>