Use the division properties of equality to rearrange the equation V = lwh for the quantity of interest h.

Question

A) h = v/l - w
B) w = V - lh
C) h = v/lw
D) h = lw/v

Answer 1

To rearrange the equation \( V = lwh \) for \( h \), you want to isolate \( h \) on one side of the equation.

Starting with the equation:

\[ V = lwh \]

To isolate \( h \), divide both sides by \( lw \):

\[ \frac{V}{lw} = h \]

This gives us the rearranged equation:

\[ h = \frac{V}{lw} \]

Now, examining the options provided:

A) \( h = \frac{V}{l} - w \)
B) \( w = V - lh \)
C) \( h = \frac{V}{lw} \)
D) \( h = \frac{lw}{v} \)

The correct answer is:

C) \( h = \frac{V}{lw} \)