To rearrange the formula for the volume of a box, \( V = lwh \), to solve for the width (\( w \)), you would divide both sides by \( lh \) (the length and height). This gives:
\[ w = \frac{V}{lh} \]
Now, in terms of units, the volume \( V \) is measured in cubic inches (in³), while \( l \) and \( h \) (length and height) are measured in square inches (in²). So when you divide \( in³ \) by \( in² \), you get:
\[ w = \frac{in^3}{in^2} = in \]
This means the units for width will be in inches (in).
Now, looking at your options, the best choice that represents the remaining units when justifying the rearrangement to solve for the width is:
Start Fraction in. cubed over in. squared End Fraction equals in.
This accurately reflects the consideration of units during the rearrangement process.