Answer:
(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism is given by:
[tex]V_R = A_{b}*h[/tex]
In which [tex]A_b[/tex] is the base area and h is the height.
Volume of a pyramid:
[tex]V_P = \frac{A_{b}*h}{3}[/tex]
Relation:
From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.
A rectangular prism has a volume of 198 cm³
So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.
The correct answer is given by option B.
