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.3/in.2=in.3/in.2
Start Fraction in. cubed over in. squared End Fraction equals Start Fraction in. cubed over in. squared End Fraction

in.3/in.2=in.

Answer 1

To solve for the width \( w \) in the volume formula \( V = lwh \), we rearrange the equation by dividing both sides by \( l \) and \( h \):

\[
w = \frac{V}{lh}
\]

When discussing the units, we note that:

- The volume \( V \) has units of cubic inches (in³).
- The length \( l \) and height \( h \) both have units of inches (in).

So, the units for width \( w \) can be derived as follows:

\[
\text{Units of } w = \frac{\text{in}^3}{\text{in} \times \text{in}} = \frac{\text{in}^3}{\text{in}^2} = \text{in}
\]

Thus, the best representation of the remaining units when justifying your rearrangement to solve for the width would be:

**in.³/in.²=in.**

This is effectively showing how the units simplify to leave you with units of inches for width \( w \).