Xiao Ming made a cylindrical learning tool with plasticine. The diameter of the bottom of the cylinder was 8 cm and the height was 10 cm. If you make another cuboid carton so that the plasticine cylinder can just fit in it, how many square centimeters of hard paper do you need at least?
小明用橡皮泥做了一个圆柱形学具，做出的圆柱底面直径8厘米，高10厘米．如果再做一个长方体纸盒，使橡皮泥圆柱正好能装进去，至少需要多少平方厘米的硬纸？
<gadget id="calculator">8 * 8</gadget>
<output>64</output>

<gadget id="calculator">8 * 10</gadget>
<output>80</output>

<gadget id="calculator">10 * 8</gadget>
<output>80</output>

<gadget id="calculator">64 + 80 + 80</gadget>
<output>224</output>

<gadget id="calculator">224 * 2</gadget>
<output>448</output>

<result>448</result>