A rectangular piece of cardboard has an area of 6 decimeters and a perimeter of 10 decimeters. If it is placed horizontally and then moved upwards, the surface area of the resulting cuboid is 22 decimeters. What is the volume of the cuboid?
一张长方形硬纸板的面积是6平方分米，周长是10分米，水平摆放后向上平移，形成的长方体的表面积是22平方分米，这个长方体的体积是多少立方分米？
<gadget id="calculator">2 * 6</gadget>
<output>12</output>

<gadget id="calculator">22 - 12</gadget>
<output>10</output>

<gadget id="calculator">10 / 10</gadget>
<output>1</output>

<gadget id="calculator">6 * 1</gadget>
<output>6</output>

<result>6</result>