The sum of the edge lengths of a cuboid is 120cm, and the ratio of length, width, and height is known to be 3:2:1. What is the surface area of the cuboid in square centimeters?
一个长方体的棱长总和为120cm，已知长、宽、高的比是3：2：1，求长方体的表面积是多少平方厘米？
<gadget id="calculator">120 / 4</gadget>
<output>30</output>

<gadget id="calculator">1 + 2 + 3</gadget>
<output>6</output>

<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">30 * (1/2)</gadget>
<output>15</output>

<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">30 * (1/3)</gadget>
<output>10</output>

<gadget id="calculator">15 * 10</gadget>
<output>150</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">30 * (1/6)</gadget>
<output>5</output>

<gadget id="calculator">15 * 5</gadget>
<output>75</output>

<gadget id="calculator">10 * 5</gadget>
<output>50</output>

<gadget id="calculator">150 + 75 + 50</gadget>
<output>275</output>

<gadget id="calculator">275 * 2</gadget>
<output>550</output>

<result>550</result>