题目内容
如图,正四棱柱ABCD-A1B1C1D1中,AB=3,BB1=4.长为1的线段PQ在棱AA1上移动,长为3的线段MN在棱CC1上移动,点R在棱BB1上移动,则四棱锥R-PQMN的体积是( )

A.6
B.10
C.12
D.不确定
【答案】分析:先求出底面PQMN的面积,再求R到底面PQMN的距离,然后求四棱锥R-PQMN的体积.
解答:解:由题意可知底面PQMN的面积是
R到PQMN的距离为
四棱锥R-PQMN的体积是:
故选A.
点评:本题考查棱柱、棱锥、棱台的体积,考查计算能力,是基础题.
解答:解:由题意可知底面PQMN的面积是

R到PQMN的距离为

四棱锥R-PQMN的体积是:

故选A.
点评:本题考查棱柱、棱锥、棱台的体积,考查计算能力,是基础题.

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