Make a cuboid wooden box, the sum of all its sides is 112 cm, and the ratio of its length, width, and height is 6:5:3. What is the maximum square centimeter of the wooden box?
做一个长方体的木箱，它的所有棱长之和为112厘米，它的长、宽、高之比是6：5：3．这个木箱的占地面积最大是多少平方厘米？
<gadget id="calculator">112 / 4</gadget>
<output>28</output>

<gadget id="calculator">6 + 5 + 3</gadget>
<output>14</output>

<gadget id="calculator">6 / 14</gadget>
<output>3/7 = around 0.428571</output>

<gadget id="calculator">28 * (3/7)</gadget>
<output>12</output>

<gadget id="calculator">5 / 14</gadget>
<output>5/14 = around 0.357143</output>

<gadget id="calculator">28 * (5/14)</gadget>
<output>10</output>

<gadget id="calculator">12 * 10</gadget>
<output>120</output>

<result>120</result>