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.

1 answer

When rearranging the formula for the volume of a box, \( V = lwh \), to solve for the width \( w \), we can isolate \( w \) by dividing both sides of the equation by \( l \) and \( h \):

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

In terms of units, if the volume \( V \) is in cubic inches (in³) and both length \( l \) and height \( h \) are in inches (in), the units for width \( w \) will be:

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

Therefore, the equation that best represents the remaining units when justifying this rearrangement is:

in.³/in.² = in.

This means the correct response is likely:

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

or its equivalent representation.