Question

Given the formula for the volume of a box, V=lwh , which equation best represents the remaining units when justifying your rearrangement to solve for the width?(1 point) Responses in.3=in.3 in. cubed equals in. cubed in.=in. in. equals in. in.3in.2=in.3in.2 Start Fraction in. cubed over in. squared End Fraction equals Start Fraction in. cubed over in. squared End Fraction in.3in.2=in.

Answer 1

To rearrange the formula for the volume of a box \( V = lwh \) to solve for the width \( w \), we need to isolate \( w \). Here's how the rearrangement works:

1. Start with the volume formula:
\[
V = lwh
\]
2. To isolate \( w \), divide both sides by \( lh \):
\[
w = \frac{V}{lh}
\]

Now, let's consider the units involved. The volume \( V \) is measured in cubic inches (\( \text{in}^3 \)), and the dimensions \( l \) and \( h \) are measured in inches (\( \text{in} \)).

When substituting the units into the equation for \( w \):
\[
w = \frac{V}{lh}
\]
The units for \( w \) become:
\[
\text{units of } w = \frac{\text{in}^3}{\text{in} \cdot \text{in}} = \frac{\text{in}^3}{\text{in}^2} = \text{in}
\]

So, the equation that best represents the remaining units when justifying the rearrangement is:
\[
\frac{\text{in}^3}{\text{in}^2} = \text{in}
\]

In conclusion, the correct response that indicates the units after rearranging is:
\[
\text{in.}^3/\text{in.}^2 = \text{in.}
\]
To answer your question more directly from the options you provided, this corresponds to:
**Start Fraction in. cubed over in. squared End Fraction equals in.**