To rearrange the formula for the volume of a box, V = lwh, to solve for the width (w), we can express the rearrangement as:
w = V / (l * h)
When justifying this rearrangement in terms of units, we can analyze the units involved:
- The volume (V) has units of cubic inches (in³).
- The length (l) and height (h) have units of square inches (in²), since their multiplication results in the units of area.
Thus, the equation representing the units when rearranging the formula is:
\[ \frac{\text{in}^3}{\text{in}^2} = \text{in} \]
This indicates that the resulting unit for width (w) is in inches (in).
So, the correct response would be:
Start Fraction in. cubed over in. squared End Fraction equals in.