Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches?
Answer: 4.5 inches
Step-by-step explanation:
The volume of a rectangular prism is given by ;-
\(V=l\times w\times h\), 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 :-
\(138.24=3.2\times w\times 9.6\\\\\Rightarrow\ w=\dfrac{138.24}{3.2\times9.6}\\\\\Rightarrow\ w=4.5\text{ inches}\)
Therefore , the width of the prism = 4.5 inches.