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)%0D%0AResponses%0D%0A%0D%0Ain.3in.2=in.3in.2%0D%0AStart Fraction in. cubed over in. squared End Fraction equals Start Fraction in. cubed over in. squared End Fraction%0D%0A%0D%0Ain.3in.2=in.%0D%0AStart Fraction in. cubed over in. squared End Fraction equals in.%0D%0A%0D%0Ain.3=in.3%0D%0Ain. cubed equals in. cubed%0D%0A%0D%0Ain.=in.

1 answer

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

w = V / (l * h)

When justifying this rearrangement in terms of units, we can analyze the units involved:

  • The volume (V) has units of cubic inches (in³).
  • The length (l) and height (h) have units of square inches (in²), since their multiplication results in the units of area.

Thus, the equation representing the units when rearranging the formula is:

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

This indicates that the resulting unit for width (w) is in inches (in).

So, the correct response would be:

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