Question

A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same height?choice;45 cubic feet90 cubic feet270 cubic feet30 cubic feet

Answer 1

Explanation:

Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.

For that we need to use the theorem which says that

the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.

Volume of Rectangular prism = 1/3 x Volume of rectangular pyramid

`\begin{gathered} (1)/(3)*90 \\ =30\text{ cubic feet} \end{gathered}`

Therefore the volume of the rectangular pyramid = 30 cubic feet