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)
w=___/___

Answer 1

To rearrange the volume formula \( V = l \cdot w \cdot h \) to solve for width \( w \), we start by isolating \( w \):

1. The original formula is: \[ V = l \cdot w \cdot h \]

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

Thus, in this case, the rearranged formula to find \( w \) is:

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

So, filling in the blanks with appropriate labels, you would have:

• \( w = V / (l \cdot h) \)