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Use the division property of equality to rearrange the equation V=lwh

for the quantity of interest h.

1 answer

To rearrange the equation \( V = lwh \) for the quantity \( h \) using the division property of equality, follow these steps:

  1. Start with the original equation: \[ V = lwh \]

  2. To isolate \( h \), divide both sides of the equation by \( lw \) (the product of \( l \) and \( w \)): \[ \frac{V}{lw} = h \]

  3. This simplifies to: \[ h = \frac{V}{lw} \]

Now you have the equation rearranged for \( h \): \[ h = \frac{V}{lw} \]