设长方体的长、宽、高分别为a,b,c,由题意可知,
4(a+b+c)=24…①,
2ab+2bc+2ac=11…②,
由①的平方减去②可得a2+b2+c2=25,
这个长方体的一条对角线长为:5,
故选C.
长方体的全面积为11,十二条棱长度之和为24,则这个长方体的一条对角线长为( ) A.23 B.14 C.5 D.6
长方体的全面积为11,十二条棱长度之和为24,则这个长方体的一条对角线长为( )
A. 2
B.
C. 5
D. 6
A. 2
3 |
B.
14 |
C. 5
D. 6
数学人气:957 ℃时间:2019-08-21 06:20:34
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