数学题:一个长方体长,宽,高都是两位数,并且它们的和是偶数
- 时间:2020-04-29 11:52:54
- 分类:数学世界
- 阅读:113 次
数学题:一个长方体长,宽,高都是两位数,并且它们的和是偶数,若这个长方体的体积是2772,2380,3261,4125这四个数中的一个,则这个长方体的长是 ( )。
数学题解答:
经分析:“它们的和是偶数”则三个数中至少有一个偶数(可能有一个偶数,或三个都是偶数),所以它们的积不可能是奇数,由此排除:3261和4125。体积只能是2772或者2380。
2772=11*12*21=11*14*18(表示为3个两位数的乘积)
11+14+18=43(奇数,不符合题意)
11+12+21=44(偶数,符合题意)
答案:长为21。(由烟雨同学解答)
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