To solve the formula for [tex]\( w \)[/tex] in the equation for the volume of a rectangular pyramid [tex]\( V = \frac{1}{3} l w h \)[/tex], follow these detailed steps:
1. Start with the given formula:
[tex]\[
V = \frac{1}{3} l w h
\][/tex]
2. Multiply both sides by 3 to eliminate the fraction:
[tex]\[
3V = l w h
\][/tex]
3. Isolate [tex]\( w \)[/tex] by dividing both sides by [tex]\( l h \)[/tex]:
[tex]\[
w = \frac{3V}{l h}
\][/tex]
Thus, the formula solved for [tex]\( w \)[/tex] is:
[tex]\[
w = \frac{3V}{l h}
\][/tex]
This corresponds to the second option:
[tex]\[
w = \frac{3 V}{l h}
\][/tex]
