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.=in.
in. equals in.

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

in.3=in.3
in. cubed equals in. cubed

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 would first isolate \( w \):

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

When justifying the rearrangement, we need an equation that represents the changes in units when moving from volume on one side (in cubic inches, \( in^3 \)) to a product of length and height on the other side (in square inches, \( in^2 \)).

Thus, the statement that best represents the remaining units in the justification is:

**Start Fraction in. cubed over in. squared End Fraction equals in.**

This is mathematically expressed as:
\[
\frac{in^3}{in^2} = in
\]

This properly shows the relationship between the units when isolating the width \( w \).