If three cubes of wood with side lengths of 3 cm, 4 cm, and 5 cm are glued together with glue, what is the possible minimum exposed surface area of the resulting three-dimensional figure in square centimeters?
将边长分别为3厘米、4厘米、5厘米的三个立方体木块用胶水黏合在一起，所得到的立体图形露在外面的表面积可能的最小值是多少平方厘米？
<gadget id="calculator">5 * 5 * 5</gadget>
<output>125</output>

<gadget id="calculator">5 * 5</gadget>
<output>25</output>

<gadget id="calculator">4 * 4</gadget>
<output>16</output>

<gadget id="calculator">3 * 1</gadget>
<output>3</output>

<gadget id="calculator">25 - 16 - 3</gadget>
<output>6</output>

<gadget id="calculator">125 + 6</gadget>
<output>131</output>

<gadget id="calculator">4 * 4 * 4</gadget>
<output>64</output>

<gadget id="calculator">3 * 3</gadget>
<output>9</output>

<gadget id="calculator">16 - 9</gadget>
<output>7</output>

<gadget id="calculator">64 + 7</gadget>
<output>71</output>

<gadget id="calculator">3 * 3 * 4</gadget>
<output>36</output>

<gadget id="calculator">9 - 3</gadget>
<output>6</output>

<gadget id="calculator">36 + 6</gadget>
<output>42</output>

<gadget id="calculator">131 + 71 + 42</gadget>
<output>244</output>

<result>244</result>