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) $$

Answer 1

To find the width of the cabinet using the volume formula V = lwh, we rearrange the formula to solve for width (w). The formula can be rearranged as follows:

\[ V = l \times w \times h \]

To isolate w, divide both sides by (l × h):

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

Now, the formula highlights the quantity of interest (width):

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

In this context, V is the volume (60 ft³), l is the length (4 ft), and h is the height (5 ft). You can now substitute these values to calculate the width.