There is a deep enough tank, the bottom of which is a rectangle with a length of 16 cm and a width of 12 cm. Originally, the tank contained 6 cm deep water and 6 cm deep oil (the oil was above the water). Put an iron block whose length, width, and height are 8 cm, 6 cm, and 12 cm respectively in the water tank. How many centimeters is the layer height of the oil layer at this time?
有一个足够深的水槽，底面是长为16厘米、宽为12厘米的长方形，原本在水槽里盛有6厘米深的水和6厘米深的油(油在水的上方)．在水槽中放入一个长、宽、高分别为8厘米、6厘米、12厘米的铁块，那么此时油层的层高是多少厘米？
<gadget id="calculator">16 * 12 * 6</gadget>
<output>1_152</output>

<gadget id="calculator">16 * 12</gadget>
<output>192</output>

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

<gadget id="calculator">192 - 48</gadget>
<output>144</output>

<gadget id="calculator">1_152 / 144</gadget>
<output>8</output>

<gadget id="calculator">12 - 8</gadget>
<output>4</output>

<gadget id="calculator">144 * 4</gadget>
<output>576</output>

<gadget id="calculator">1_152 - 576</gadget>
<output>576</output>

<gadget id="calculator">576 / 192</gadget>
<output>3</output>

<gadget id="calculator">3 + 4</gadget>
<output>7</output>

<result>7</result>