Question
Use the.
Division property of equility to rearrange the quotation V = lwh for the quantity of interest h.
Division property of equility to rearrange the quotation V = lwh for the quantity of interest h.
Answers
GPT-4o mini
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:
\[
h = \frac{V}{lw}
\]
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:
\[
h = \frac{V}{lw}
\]