两个完全相同的长方体恰好拼成一个正方体
- 时间:2020-05-20 15:29:31
- 分类:数学世界
- 阅读:147 次
两个完全相同的长方体恰好拼成一个正方体,正方体的表面积是30平方厘米,如果把这两个长方体拼成一个大长方体,那么大长方体的表面积是多少?
数学题解答:此题需要先画图,具体步骤如下:
先画出一个正方体,再把它均分成两半。最后再合成新长方体,如图:

由正方体的表面积为30平方厘米,可以算出它每个面的面积是:30÷6=5(平方厘米)
观察正方体变成长方体前后的变化情况,红色的是增加的表面,蓝色的是减少的表面。不难发现增加的表面是:5+5=10(平方厘米),减少的表面是5平方厘米。所以大长方体的表面积是:
30+5+5-5=35(平方厘米)
答:大长方体的表面积是35平方厘米。
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