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)
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Remainin

Answer 1

To find the width \( w \) of the cabinet using the volume formula \( V = lwh \), we need to rearrange the formula to solve for \( w \).

Starting with the formula:

\[ V = lwh \]

We can isolate \( w \) by dividing both sides by \( l \) and \( h \):

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

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

We can plug in the values:

• \( V = 60 , \text{ft}^3 \)
• \( l = 4 , \text{ft} \)
• \( h = 5 , \text{ft} \)

Now substituting those values in:

\[ w = \frac{60}{4 \times 5} \] \[ w = \frac{60}{20} \] \[ w = 3 , \text{ft} \]

Thus, the width of the cabinet is \( 3 , \text{ft} \).