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 $w$:

$$w=\frac{i{n}^3}{i{n}^2}$$

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.