Question

Question

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)
w = ?/?

Answer 1

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

Given volume formula:

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

To isolate \( w \), we can rearrange the equation:

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

Now, substituting the values for \( V \), \( l \), and \( h \):

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

Thus, the rearranged formula for \( w \) becomes:

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

This means:

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

So, the width \( w \) is 3 ft.

In summary, the formula rearranged for \( w \) is:

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

This can be presented as:

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