Question
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
Answers
GPT-4o mini
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 \( h \).
\[ V = l \times w \times h \]
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 \( h \).