If the length and width remain the same and the height increases by 3 cm, the volume increases by 108 cubic centimeters. If the width and height remain the same and the length increases by 4 cm, the volume increases by 112 cubic centimeters. What is the maximum surface area of this cuboid in square centimeters?
如果长和宽不变，高增加3厘米，则体积增加108立方厘米，如果宽和高不变，长增加4厘米，则体积增加112立方厘米，这个长方体的表面积最大是多少平方厘米？
<gadget id="calculator">9 * 4</gadget>
<output>36</output>

<gadget id="calculator">9 * 7</gadget>
<output>63</output>

<gadget id="calculator">4 * 7</gadget>
<output>28</output>

<gadget id="calculator">36 + 63 + 28</gadget>
<output>127</output>

<gadget id="calculator">127 * 2</gadget>
<output>254</output>

<result>254</result>