Question

S=2(lw lh wh) solve for w

Answer 1

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:


`(S)/(2w^2h^2)=l^2`

Taking the square root and rationalizing the denominator, we see that:


`l= ( √(2S) )/(2wh)`

Answer 2

You said S = 2(lw + lh + wh)

Divide each side by 2 : S/2 = lw + lh + wh

Subtract 'lh' from each side: S/2 - lh = lw + wh

Factor the right side: S/2 - lh = w(l + h)

Divide each side by (l + h) : w = (S/2 - lh) / (l + h)