Three cubes with edge lengths of 3, 5, and 8, through random assembly, what is the minimum surface area of the resulting geometric body.
棱长为3、5、8的三个正方体，通过任意拼组，所得的几何体表面积最少为多少．
<gadget id="calculator">8 * 8 * 6</gadget>
<output>384</output>

<gadget id="calculator">3 * 3 * 6</gadget>
<output>54</output>

<gadget id="calculator">5 * 5 * 6</gadget>
<output>150</output>

<gadget id="calculator">3 * 3 * 3</gadget>
<output>27</output>

<gadget id="calculator">5 * 5 * 3</gadget>
<output>75</output>

<gadget id="calculator">150 - 27 - 75</gadget>
<output>48</output>

<gadget id="calculator">384 + 54 + 48</gadget>
<output>486</output>

<result>486</result>