A cube with a length of 12 cm is sawed into three identical small cuboids. How much does the sum of the surface areas of these three small cuboids increase compared to the original?
将一个长12厘米的正方体锯成三个相同的小长方体，这三个小长方体的表面积总和比原来增加了多少？
<gadget id="calculator">12 * 12 * 4</gadget>
<output>576</output>

<result>576</result>