The volume v of a rectangular prism is determined using the formula where l is the length w is the width and h is the height of the prism l. Carltren solves for w and writes the equivalent equation w=V/lh. 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:
width of the rectangular prism is 4.5 inches.
Step-by-step explanation:
Carltren solves for w and writes the equivalent equation as \(w=\frac{V}{lh}\)
Now, we have to find 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.
Thus, we have
V = 138.24 cubic inches
l = 3.2 inches
h = 9.6 inches.
Substituting these values in the above formula to find w
\(w=\frac{138.24}{3.2\cdot9.6}\)
On simplifying, we get
\(w=4.5\)
Thus, width of the rectangular prism is 4.5 inches.