Question

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



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

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

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

D.
There is no relationship between the volumes of each shape.
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Answer 1

Rule:

If a pyramid and prism have the same base and height, then

volume of pyramid = (1/3)*(volume of prism)
which is equivalent to saying
volume of prism = 3*(volume of pyramid)