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

Question

. 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)

Answer 1

To find the width of the cabinet using the volume formula \( V = l \times w \times h \), we will rearrange the formula to solve for the width \( w \).

Starting with the formula: \[ V = l \times w \times h \]

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

\[ w = \frac{V}{l \times h} \]

In this case, the width \( w \) is expressed in terms of volume \( V \), length \( l \), and height \( h \).

Thus, the rearranged formula for the width of the cabinet is:

\[ w = \frac{V}{l \times h} \]