A function for the height of the box is: h = 4/w²
Fir given question,
We have been given the volume of the rectangular box 8 ft³
Let for given rectangular box, l be the length, w be the width and h be the height.
The volume of the rectangular box is, V = l × w × h
We have been given a closed rectangular box has length twice the width.
⇒ l = 2w
So, the equation for the volume of the rectangular box becomes,
⇒ V = 2w × w × h
⇒ V =2w² × h
From given information, V = 8 ft³
⇒ 8 =2w² × h
⇒ h = 4/w²
Here, the height (h) of the box as a function of the width(w).
Therefore, a function for the height of the box is: h = 4/w²
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