Use the.

Division property of equility to rearrange the quotation V = lwh for the quantity of interest h.

1 answer

To rearrange the formula for volume \( V = lwh \) to solve for \( h \), we will use the division property of equality. The division property states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Starting with the original equation:

\[ V = lwh \]

To isolate \( h \), we can divide both sides of the equation by \( lw \):

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

On the right side, the \( lw \) in the numerator and denominator cancels out:

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

Thus, the rearranged formula for \( h \) is:

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