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

JamesG asked Oct 1, 2023

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JamesG asked Oct 1, 2023

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23 votes

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:

Aliaxander answered Oct 6, 2023

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