The height of the prism is ![2.25 \ in](https://tex.z-dn.net/?f=2.25%20%5C%20in)
Explanation:
It is given that the area of the cross section of the rectangular prism is 45 square inches.
Length of the rectangular prism is ![5 \ in](https://tex.z-dn.net/?f=5%20%5C%20in)
Width of the rectangular prism is ![5 \ in](https://tex.z-dn.net/?f=5%20%5C%20in)
To determine the height of the prism, let us substitute these values in the formula
, we get,
![45=(2(5)+2(5))h](https://tex.z-dn.net/?f=45%3D%282%285%29%2B2%285%29%29h)
Multiplying the terms within the bracket, we get,
![45=(10+10)h](https://tex.z-dn.net/?f=45%3D%2810%2B10%29h)
Adding the terms within the bracket, we have,
![45=20h](https://tex.z-dn.net/?f=45%3D20h)
Dividing both sides by 20, we get,
![2.25=h](https://tex.z-dn.net/?f=2.25%3Dh)
Thus, the height of the rectangular prism is ![2.25 \ in](https://tex.z-dn.net/?f=2.25%20%5C%20in)