24.已知棱长为1的正方体ABCD−A1B1C1D1ABCD-A_{1}B_{1}C_{1}D_{1}ABCD−A1B1C1D1,MMM为BCBCBC的中点,点NNN为四边形DCC1D1DCC_{1}D_{1}DCC1D1及其内部任意一点,若MN⊥A1CMN\bot A_{1}CMN⊥A1C,则三棱锥N−AA1DN-AA_{1}DN−AA1D体积的取值范围是 [ ]{.underline}[112,16][\frac{1}{12},\frac{1}{6}][121,61][ ]{.underline}.