Answer: 4.5 inches
Step-by-step explanation:
The volume of a rectangular prism is given by ;-
[tex]V=l\times w\times h[/tex], where l is length , w is width and h is height of the rectangular prism.
Given : V= 138.24 cubic inches, h= 9.6 inches , l = 3.2 inches
Substitute these values in the above formula , we get :-
[tex]138.24=3.2\times w\times 9.6\\\\\Rightarrow\ w=\dfrac{138.24}{3.2\times9.6}\\\\\Rightarrow\ w=4.5\text{ inches}[/tex]
Therefore , the width of the prism = 4.5 inches.
