Answer:
The volume of the pyramid is 9 cubic units.
Step-by-step explanation:
Given : If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units.
To find : What is the volume of the pyramid?
Solution :
We know that,
If a pyramid and a prism have the same base and height then their volumes are always in the ratio of 1 : 3.
Which means the volume of pyramid is one-third of the volume of the prism.
i.e. \(V_P=\frac{1}{3}\times V_p\)
Volume of the prism \(V_p=27 \text{ unit}^3\) (given)
The volume of pyramid is
\(V_P=\frac{1}{3}\times 27\)
\(V_P=9\text{ unit}^3\)
Therefore, The volume of the pyramid is 9 cubic units.
