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

Starting from the volume formula:

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

We can rearrange it to isolate \( w \):

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

Now, substituting the known values for volume \( V = 60 , ft^3 \), length \( l = 4 , ft \), and height \( h = 5 , ft \):

\[ w = \frac{60}{4 \times 5} \]

Calculating the denominator:

\[ 4 \times 5 = 20 \]

Now substituting back into the equation for \( w \):

\[ w = \frac{60}{20} = 3 , ft \]

So, the width of the cabinet is \( 3 , ft \).