Answer :
The volume of a rectangular pyramid with a congruent base and the same height is 1 1/2 cu.in.
In this question we have been given the volume of a rectangular prism which is 4 1/2 cu.in.
We need to find the volume of a rectangular pyramid with a congruent base and the same height.
Volume of rectangular pyramid = 1/3 * length * width * height
And the volume of rectangular prism = length * width * height
So, the relationship between the volumes of the rectangular prism and pyramid which have the same height and base:
Volume of rectangular pyramid = 1/3 * Volume of rectangular prism
In this question we ahve been given volume of a rectangular prism = 4 1/2 cu.in.
First we write improper fraction 4 1/2 as proper fraction.
4 1/2 = 9/2
From above equation,
volume of rectangular pyramid = 1/3 * 9/2
Volume of rectangular pyramid = 3/2
Volume of rectangular pyramid = 1 1/2 cu.in.
Therefore, the volume of a rectangular pyramid = 1 1/2 cu.in.
Learn more about the volume of pyramid here:
https://brainly.com/question/17615619
#SPJ4
The complete question is:
The volume of a rectangular prism is 4 1/2 cu.in. What is the volume of a rectangular pyramid with a congruent base and the same height?
