The sum of the lengths of all sides of a cuboid is 180 centimeters, and the ratio of length, width and height is known to be 4:3:2. What is the volume of this piece of wood in cubic centimeters?
一块长方体木料所有棱长和是180厘米，已知长、宽、高的比是4：3：2，这块木料的体积是多少立方厘米？
<gadget id="calculator">180 / 4</gadget>
<output>45</output>

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

<gadget id="calculator">45 / 9</gadget>
<output>5</output>

<gadget id="calculator">5 * 4</gadget>
<output>20</output>

<gadget id="calculator">5 * 3</gadget>
<output>15</output>

<gadget id="calculator">5 * 2</gadget>
<output>10</output>

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

<result>3_000</result>