There are 100 cubes of 1 cm edge length, all white on the surface, and 25 cubes of 1 cm edge length, all blue surfaces. Glue these 125 cubes together to form a large cube. What is the minimum area in square centimeters of the large cube whose surface is white?
有100个棱长为1厘米的正方体木块，表面均为白色，还有25个棱长为1厘米的正方体木块，表面均为蓝色．将这125个正方体木块粘在一起，形成一个大正方体．大正方体的表面为白色的面积至少是多少平方厘米．
<gadget id="calculator">5 * 5 * 6</gadget>
<output>150</output>

<gadget id="calculator">1 * 1 * 3 * 8</gadget>
<output>24</output>

<gadget id="calculator">1 * 1 * 2 * 17</gadget>
<output>34</output>

<gadget id="calculator">24 + 34</gadget>
<output>58</output>

<gadget id="calculator">150 - 58</gadget>
<output>92</output>

<result>92</result>