Question

Claudia’s family is buying a new cabinet for their home. 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.

Answer 1

To highlight the width \( w \) in the volume formula \( V = lwh \), we need to rearrange the equation to isolate \( w \).

Starting with the equation:

\[
V = lwh
\]

we can divide both sides by \( l \) and \( h \) to solve for \( w \):

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

Now, the formula is rearranged to highlight the width \( w \) with \( V \) as the volume, \( l \) as the length, and \( h \) as the height.