Given the formula for the volume of a box v equals length times when it times high which equation best represents the remaining units when justifying your rearrangement to solve for the width

1 answer

To solve for the width (w) in the volume formula for a box, you start with the formula for volume:

\[ V = l \times w \times h \]

where:

  • \( V \) is the volume,
  • \( l \) is the length,
  • \( w \) is the width,
  • \( h \) is the height.

To isolate the width \( w \), you can rearrange the equation. Here’s how you do it step by step:

  1. Start with the original equation: \[ V = l \times w \times h \]

  2. To solve for \( w \), divide both sides of the equation by \( l \) and \( h \): \[ w = \frac{V}{l \times h} \]

So the equation that best represents the remaining units when rearranging to solve for the width is:

\[ w = \frac{V}{l \cdot h} \]

This clearly shows that the width \( w \) is found by dividing the volume \( V \) by the product of the length \( l \) and the height \( h \).