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.(1 point) w =

Answer 1

To highlight the quantity of interest, which is the width \( w \) in the volume formula \( V = lwh \), we can rearrange the formula to solve for \( w \).

Starting with the formula: \[ V = lwh \]

We want to isolate \( w \). To do this, we can divide both sides of the equation by \( lh \):

\[ w = \frac{V}{lh} \]

So the rearranged formula highlighting the quantity of interest, the width \( w \), is:

\[ w = \frac{V}{lh} \]