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 60ft .^ 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 of the cabinet using the volume formula \( V = lwh \), where:

- \( V \) is the volume,
- \( l \) is the length,
- \( w \) is the width, and
- \( h \) is the height.

We can rearrange the formula to solve for \( w \):

1. Start with the formula:
\[
V = lwh
\]

2. To isolate \( w \), divide both sides by \( l \) and \( h \):
\[
w = \frac{V}{lh}
\]

Now, substituting the known values:

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

You can write the formula for width \( w \) as follows:

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

So, to fill in the blank, you would write:

**w = 60 / (4 × 5)**