There is a cuboid with a length of 8 cm, a width of 4 cm, and a height of 6 cm. Cut it into several small cubes with side lengths of 2 cm. How many square centimeters does the sum of the surface areas of these small cubes increase from the surface area of the original cuboid? ?
有一个长方体，长是8厘米，宽是4厘米，高是6厘米，把它截成棱长是2厘米的若干个小正方体，这些小正方体表面积之和比原来长方体的表面积增加了多少平方厘米？
<gadget id="calculator">8 / 2</gadget>
<output>4</output>

<gadget id="calculator">4 / 2</gadget>
<output>2</output>

<gadget id="calculator">6 / 2</gadget>
<output>3</output>

<gadget id="calculator">4 * 2 * 3</gadget>
<output>24</output>

<gadget id="calculator">2 * 2 * 6 * 24</gadget>
<output>576</output>

<gadget id="calculator">8 * 4</gadget>
<output>32</output>

<gadget id="calculator">8 * 6</gadget>
<output>48</output>

<gadget id="calculator">4 * 6</gadget>
<output>24</output>

<gadget id="calculator">32 + 48 + 24</gadget>
<output>104</output>

<gadget id="calculator">104 * 2</gadget>
<output>208</output>

<gadget id="calculator">576 - 208</gadget>
<output>368</output>

<result>368</result>