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)

3 answers

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

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

We can isolate \( w \) by dividing both sides by \( l \times h \): \[ w = \frac{V}{l \times h} \]

So the rearranged formula to find the width \( w \) in terms of volume \( V \), length \( l \), and height \( h \) is: \[ w = \frac{V}{l \times h} \]

Let's go through it again step-by-step using the volume formula \( V = l \times w \times h \).

To find the width \( w \), the formula can be rearranged as follows:

  1. Start with the volume formula:
    \[ V = l \times w \times h \]

  2. To isolate \( w \), divide both sides of the equation by \( l \times h \):
    \[ w = \frac{V}{l \times h} \]

Thus, the correct rearranged formula to highlight the quantity of interest (the width \( w \)) is:
\[ w = \frac{V}{l \times h} \]

If you have specific values you would like to substitute into this formula (like the values for volume, length, and height), please provide them, and we can calculate the width together.