Example 17 The volume of the right triangular prism $A B C-A^{\prime} B^{\prime} C^{\prime}$ is $V, P, Q$ are points on the side edges $A A^{\prime}, O C^{\prime}$ respectively, and $A P=C^{\prime} Q$, then the volume of the quadrilateral pyramid $B-A P Q C$ is ( ).
A. $\frac{1}{2} V$
B. $\frac{1}{3} V$
C. $\frac{1}{4} V$
D. $\frac{1}{5} V$
Solution: Choose B. Reason: Using special case estimation, if we let $A$ coincide with $P$, and $Q$ coincide with $C^{\prime}$, this still satisfies the condition $A P=C^{\prime} Q(=0)$, then we have $V_{B-A P Q C}=V_{C^{\prime}-A B C}=\frac{1}{3} S h=\frac{1}{3} V$.

