We can't find l exactly since we don't know the values of w, h, and S, but we can simplify this expression.
Simplifying, we have:
S=2(l^2)(w^2)(h^2)
Dividing by 2(w^2)(h^2), we have:
[tex] \frac{S}{2w^2h^2}=l^2 [/tex]
Taking the square root and rationalizing the denominator, we see that:
[tex]l= \frac{ \sqrt{2S} }{2wh} [/tex]
