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)

Question

Responses

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

in.=in.
in. 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 start by isolating \( w \):

1. Rearranging the equation gives us \( w = \frac{V}{l \cdot h} \).

Now, let's analyze the units on both sides of the equation:

• The volume \( V \) is measured in cubic inches (in³).
• The length \( l \) and height \( h \) are both measured in square inches (in²).

When we substitute these units into the equation for \( w \):

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

This simplifies to:

\[ w = in \]

Thus, the units for width is inches (in), confirming that our rearrangement is correct.

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

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

So, the correct response is: Start Fraction in. cubed over in. squared End Fraction equals in.