A cuboid has a length of 14 decimeters and a height of 6 decimeters. Cut it horizontally into two small cuboids. The surface area increases by 224 square decimeters. What is the volume of the original cuboid?
一个长方体的长14分米，高6分米，沿着水平的方向把它横切成两个小长方体，表面积增加224平方分米，求原来长方体的体积是多少？
<gadget id="calculator">224 / 2</gadget>
<output>112</output>

<gadget id="calculator">112 * 6</gadget>
<output>672</output>

<result>672</result>