Question

Which statement is true if the triangular prism and the triangular pyramid have the same base and height?

A.The volume of the prism is one-third times the volume of the pyramid.

B.The volume of the pyramid is 3 times the volume of the prism.

C.The volume of the pyramid is one-third the volume of the prism.

D.There is no relationship between the volumes of each shape.

Answer 1

C
Given the same dimension, the pyramid's volume is:
1/6 x b x l x h
While the prism's is:
1/2 x b x l x h
Therefore, the prism's volume is 3 times that of the pyramid.