一个正方体的高增加10cm,得到新长方体的表面积比原正方体表面积增加120cm,原正方体体积是(  ).A.9cm3 B.12cm3 C.18cm3 ...

作者: tihaiku 人气: - 评论: 0
问题 一个正方体的高增加10cm,得到新长方体的表面积比原正方体表面积增加120cm,原正方体体积是(  ).
选项 A.9cm3 B.12cm3 C.18cm3 D.27cm3
答案 D
解析 如下图所示,高增加10cm后,增加的表面积为四个侧面积.设原正方体的棱长为acm,则有4×10a=120,解得a=3,则原正方体的体积为33=27cm3.

相关内容:正方体,高增加,长方体,表面积,比原,体积,.A.9cm3,B.12cm3,C.18cm3

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