The sum of the lengths of all sides of a cuboid is 6 decimeters, and the ratio of length, width, and height is 5:4:6. If this cuboid is cut into three small cuboids, how many square decimeters can the surface area be increased at most?
一个长方体的所有棱长之和为6分米，长，宽，高的比是5：4：6，把这个长方体截成三个小长方体，表面积最多可以增加多少平方分米．
<gadget id="calculator">6 / 4</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">6 + 5 + 4</gadget>
<output>15</output>

<gadget id="calculator">6 / 15</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">(3/2) * (2/5)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">4 / 15</gadget>
<output>4/15 = around 0.266667</output>

<gadget id="calculator">(3/2) * (4/15)</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">(3/5) * (2/5) * 4</gadget>
<output>24/25 = around 0.96</output>

<result>24/25 = around 0.96</result>