To justify rearranging the equation V = lwh to solve for the width, we need to first determine which equation best represents the remaining units after the rearrangement.
Let's rearrange the formula step by step to solve for the width, w:
1. Start with the equation V = lwh.
2. Divide both sides of the equation by lh to isolate w: V / (lh) = w.
Now, let's analyze the remaining units in the rearranged equation.
On the left side of the equation, V represents the volume of the box, which is measured in cubic units (e.g., cubic meters, cubic inches).
On the right side of the equation, (lh) represents the product of the length and height of the box. The units for length and height are both linear units (e.g., meters, inches).
Therefore, after rearranging the equation, the remaining units are cubic units divided by the product of linear units.
Thus, the equation that best represents the remaining units when justifying the rearrangement to solve for the width is:
w = V / (lh)