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.3in2=in.3in.2
in. = in.
in. = in.
in.3in.2=in.
in.3=in.3
, which equation best represents the remaining units when justifying your rearrangement to solve for the width?(1 point)
Responses
in.3in2=in.3in.2
in. = in.
in. = in.
in.3in.2=in.
in.3=in.3
Answers
GPT-4o mini
To rearrange the formula for the volume of a box, \( V = lwh \), to solve for the width \( w \), you would divide both sides by \( lh \):
\[
w = \frac{V}{lh}
\]
In terms of units, if volume \( V \) is in cubic inches (in³), length \( l \) and height \( h \) are both in inches (in), then the units for width \( w \) will be:
\[
w = \frac{\text{in}^3}{\text{in} \cdot \text{in}} = \frac{\text{in}^3}{\text{in}^2} = \text{in}
\]
This shows that the remaining units on the right side will simplify to inches (in).
The correct equation that best represents the remaining units when justifying your rearrangement to solve for the width is:
**in.³/in.² = in.**
So, the response is:
**in.³/in.² = in.**
\[
w = \frac{V}{lh}
\]
In terms of units, if volume \( V \) is in cubic inches (in³), length \( l \) and height \( h \) are both in inches (in), then the units for width \( w \) will be:
\[
w = \frac{\text{in}^3}{\text{in} \cdot \text{in}} = \frac{\text{in}^3}{\text{in}^2} = \text{in}
\]
This shows that the remaining units on the right side will simplify to inches (in).
The correct equation that best represents the remaining units when justifying your rearrangement to solve for the width is:
**in.³/in.² = in.**
So, the response is:
**in.³/in.² = in.**