将侧面积是94.2平方厘米的圆柱拼成一个近似的长方体
- 时间:2020-05-20 15:29:31
- 分类:数学世界
- 阅读:141 次
数学题:将侧面积是94.2平方厘米的圆柱拼成一个近似的长方体,表面积比原来增加多少?
数学题解答:圆柱拼成近似的长方体,最好先弄一个模型观察一下。

仔细观察可以发现:圆柱变成长方体后,上下底面的面积不变,原来的侧面积变成了前面与后面的面积,而左右两侧则是多出来的面积。左右两边合起来,应该相当于把圆柱从中间剖开,中间的一个切面的面积。
而这个切面是长方形,它的面积可以用“底面直径*高”来计算;而侧面积是用“底面周长*高”来计算,这样我们就很容易发现中间切面的面积与侧面积的比是:1比3.14,所以增加的面积就是:94.2÷3.14=30(平方厘米)。
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