Question

17 solve the formula for the volume of a rectangular solid, ( v = lwh ), for the variable ( h ).
( h = \frac{v}{lw} )
( h = \frac{w}{v} )
( h = \frac{vl}{w} )
( h = \frac{lw}{v} )

Explanation:

Step1: Identify the formula

We have the volume formula for a rectangular solid: \( V = lwh \), and we need to solve for \( h \).

Step2: Isolate \( h \)

To isolate \( h \), we divide both sides of the equation by \( lw \) (assuming \( l
eq 0 \) and \( w
eq 0 \)).

Starting with \( V = lwh \), divide both sides by \( lw \):

\( \frac{V}{lw} = \frac{lwh}{lw} \)

Simplifying the right - hand side, the \( l \) and \( w \) in the numerator and denominator cancel out, leaving us with \( h=\frac{V}{lw} \)

Answer:

\( h = \frac{V}{lw} \) (corresponding to the first option: \( h=\frac{V}{lw} \))