Question

The formula for the surface area s of a rectangular prism is s=2lw+2lh+2wh. Solve the formula for the height h.

Answer 1

Let's solve the surface area for the height:

`\begin{gathered} s=2lw+2lh+2wh \\ s-2lw=2h(l+w) \\ 2h=(s-2lw)/(l+w) \\ h=(s-2lw)/(2(l+w)) \end{gathered}`

Therefore, the expression for the height is:

`h=(s-2lw)/(2(l+w))`