Let the volume of the triangular prism abc-a1b1c1 be V, P and Q be the points on the side edges Aa1 and CC1 respectively, and PA = qc1, then the volume of the pyramid b-apqc is () A. 16vB. 14vC. 13vD. 12v

Let the volume of the triangular prism abc-a1b1c1 be V, P and Q be the points on the side edges Aa1 and CC1 respectively, and PA = qc1, then the volume of the pyramid b-apqc is () A. 16vB. 14vC. 13vD. 12v

The volume of ∵ triangular prism abc-a1b1c1 is V, and ∵ P and Q are the points on the side edges Aa1 and CC1 respectively, and PA = qc1, the bottom area of ∵ pyramid b-apqc is sapqc = 12sacc1a1 and vb-acc1a1 = V, and triangular prism ABC − a1b1c1 − V, triangular pyramid B − a1b1c1 = v − 13V = 23v ∵ vb-apqc = 12vb − acc1a1 = 12 · 23v = 13V