Question

高二立体几何：正方体ABCD-A'B'C'D'中,M,N,Q分别为棱AA',A'B',A'D'的中点,

Answer 1

三棱锥A'-MNQ可以看成以△A'NQ为底面、A'M为高的三棱锥,所以

V=(1/3)*(S△A'NQ)* A'M

=(1/3)*(1/2)* A'N*A'Q * A'M

=(1/3)*(1/2)* (1/2)* (1/2) * (1/2)

=1/48