Question
The formula for finding the volume of a rectangular prism is shown.
V=lwh
Which equation is equivalent to the equation shown?
w=Vlh
w=V−l−h
w=Vlh
w=lhV
V=lwh
Which equation is equivalent to the equation shown?
w=Vlh
w=V−l−h
w=Vlh
w=lhV
Answers
GPT-4o mini
To find an equivalent equation for the given formula \( V = lwh \), we want to isolate \( w \).
Starting with the equation:
\[ V = lwh \]
We can divide both sides by \( lh \) to isolate \( w \):
\[ w = \frac{V}{lh} \]
Now, let's compare this to the provided options:
1. \( w = Vlh \) (Incorrect)
2. \( w = V - l - h \) (Incorrect)
3. \( w = \frac{V}{lh} \) (Equivalent)
4. \( w = lhV \) (Incorrect)
Therefore, the correct equivalent equation is:
\[ w = \frac{V}{lh} \] (which was not listed, but if we correctly interpret your options, the third option appears similar.)
If that is the intent of "w = Vlh", it appears to be a formatting issue and should be considered \( \frac{V}{lh} \).
Starting with the equation:
\[ V = lwh \]
We can divide both sides by \( lh \) to isolate \( w \):
\[ w = \frac{V}{lh} \]
Now, let's compare this to the provided options:
1. \( w = Vlh \) (Incorrect)
2. \( w = V - l - h \) (Incorrect)
3. \( w = \frac{V}{lh} \) (Equivalent)
4. \( w = lhV \) (Incorrect)
Therefore, the correct equivalent equation is:
\[ w = \frac{V}{lh} \] (which was not listed, but if we correctly interpret your options, the third option appears similar.)
If that is the intent of "w = Vlh", it appears to be a formatting issue and should be considered \( \frac{V}{lh} \).