A cylindrical vase has a base radius of 6 cm measured from the outside and a height of 20 cm. Please design a cuboid packaging box for it, briefly talk about your design plan (require length, width, height data), at least how many square centimeters of packaging paper is needed (not counting the joints)?
一个圆柱体花瓶，从外面量底面半径6厘米，高20厘米．请你为它设计一个长方体包装盒，简单说说你的设计方案(要求说出长、宽、高数据)，至少需要多少平方厘米的包装纸(接头处不计)？
<gadget id="calculator">6 * 2</gadget>
<output>12</output>

<gadget id="calculator">12 * 12</gadget>
<output>144</output>

<gadget id="calculator">12 * 20</gadget>
<output>240</output>

<gadget id="calculator">144 + 240 + 240</gadget>
<output>624</output>

<gadget id="calculator">624 * 2</gadget>
<output>1_248</output>

<result>1_248</result>