If a cube with a side length of 6 cm is attached to the surface of two small cubes with side lengths of 1 cm and 2 cm respectively, what is the minimum surface area of the solid that can be obtained?
一个棱长为6厘米的正方体，表面贴两个棱长分别为1厘米与2厘米的小正方体，则得到的立体的表面积最小可以是多少平方厘米．
<gadget id="calculator">6 * 6 * 6</gadget>
<output>216</output>

<gadget id="calculator">2 * 2 * 6</gadget>
<output>24</output>

<gadget id="calculator">1 * 1 * 6</gadget>
<output>6</output>

<gadget id="calculator">2 * 2 * 2</gadget>
<output>8</output>

<gadget id="calculator">1 * 1 * 4</gadget>
<output>4</output>

<gadget id="calculator">6 - 8 - 4</gadget>
<output>-6</output>

<gadget id="calculator">216 + 24 + (-6)</gadget>
<output>234</output>

<result>234</result>