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
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
𝑉
=
𝑙
𝑤
ℎ
, rearrange the formula to highlight the quantity of interest. Note that volume is represented with a capital V
𝑉
in the formula.(1 point)

Answer 1

To find the width of the cabinet using the volume formula, we start with the formula for volume:

\[ V = lwh \]

Where:

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

Since we need to find the width \( w \), we can rearrange the formula. To isolate \( w \), we divide both sides of the equation by \( l \) and \( h \):

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

Now, this formula highlights the quantity of interest, which is the width \( w \). You can use this rearranged equation to calculate the width of the cabinet given its volume, length, and height.