The formula for finding the volume of a rectangular prism is shown.

Question

V=lwh


Which equation is equivalent to the equation shown?


w=Vlh


w=V−l−h

w=Vlh


w=lhV

Answer 1

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 \( \frac{V}{lh} \).