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

in.=in.
in. equals in.

in.3in.2=in.3in.2

Answer 1

To rearrange the formula for the volume of a box, \( V = lwh \), to solve for the width \( w \), we can isolate \( w \) as follows:

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

When justifying this rearrangement, we need to consider the units involved in the equation. The volume \( V \) is measured in cubic inches (in³), and the dimensions \( l \) and \( h \) are measured in inches (in). Thus, the product \( lh \) is measured in square inches (in²).

The units will work out as follows when rearranging to solve for \( w \):
\[
w = \frac{\text{in.}^3}{\text{in.}^2} = \text{in.}
\]

This means that the remaining units when you solve for \( w \) will be inches.

Thus, the equation that best represents the remaining units is:
**Start Fraction in. cubed over in. squared End Fraction equals in.**