Question

type the correct answer in the box.
the volume of a rectangular prism is calculated using the formula ( v = lwh ), where ( v ) is the volume of the prism, ( l ) and ( w ) are the length and width of the base of the prism, respectively, and ( h ) is the height of the prism.
rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.
( w = )

Explanation:

Step1: Start with the formula \( V = lwh \)

We need to solve for \( w \).

Step2: Divide both sides by \( lh \)

To isolate \( w \), we divide each side of the equation \( V = lwh \) by \( lh \). So, \( \frac{V}{lh}=\frac{lwh}{lh} \).

Step3: Simplify the right - hand side

Since \( \frac{lwh}{lh}=w \) (the \( l \) and \( h \) terms cancel out), we get \( w = \frac{V}{lh} \).

Answer:

\(\frac{V}{lh}\)