Answer:
Width of the rectangular prism
It is given to us that the volume of the rectangular prism is calculated by the given formula :-
v = lwh
Where,
v = volume
l = length
w = width
h = height
Now,
In the question we are given :-
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
Substitute these values in the volume formula given :-
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ The width of the rectangular prism is 4.5 inches.
The required width of the rectangular prism is 4.5 inches.
Given information:
The volume of the rectangular prism is defined as,
[tex]V=lwh[/tex]
where l is the length, w is the width, and h is the height of the prism.
The volume of the prism is 138.24 cubic inches.
The height of the prism is 9.6 inches, and the length of the prism is 3.2 inches.
So, the width of the prism can be calculated as,
[tex]V=lwh\\138.24 =3.2\times w\times 9.6\\138.24 =30.72\times w\\w=\dfrac{138.24}{30.72}\\w=4.5\rm \; inch[/tex]
Therefore, the required width of the rectangular prism is 4.5 inches.
For more details, refer to the link:
https://brainly.com/question/12449923
