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Claudia’s family is buying a new cabinet for their home. The height of the cabinet is 5 ft., its length is 4 ft., and its volume is 60 ft.3

. They need to know the width of the cabinet to make sure that it will fit in the space where they want to put it. Using the volume formula, V=lwh
, rearrange the formula to highlight the quantity of interest. Note that volume is represented with a capital V
in the formula.
Dont simplify it just give us the fraction

1 answer

To rearrange the volume formula \( V = lwh \) to solve for the width \( w \), we can isolate \( w \) as follows:

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

  2. To isolate \( w \), divide both sides by \( lh \): \[ w = \frac{V}{lh} \]

So, the width \( w \) is given by the fraction: \[ w = \frac{V}{lh} \]