Question

Rearranging Formulas Quick Check
4 of 54 of 5 Items
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.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.3=in.3
in. cubed equals in. cubed

in.=in.
in. equals in.

in.3in.2=in.

Answer 1

To rearrange the formula \( V = lwh \) to solve for the width \( w \), you would isolate \( w \) on one side of the equation.

The rearrangement would look like this:

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

To justify this rearrangement in terms of units, we analyze the units involved. The volume \( V \) is in cubic inches (in³), while both the length \( l \) and height \( h \) are in inches (in). Therefore, \( lh \) will be in square inches (in²).

When we perform the division \( \frac{V}{lh} \):
\[
w = \frac{in^3}{in^2} = in
\]

This means that the units of width \( w \) will be in inches (in).

Given these insights, the best response that represents the remaining units when justifying the rearrangement to solve for width \( w \) is:

**Start Fraction in. cubed over in. squared End Fraction equals Start Fraction in. cubed over in. squared End Fraction**
which succinctly indicates that cubic inches divided by square inches equals inches.