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28-10-2022
Mathematics

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

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KindleT6418 KindleT6418

28-10-2022

Let's solve the surface area for the height:

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

Therefore, the expression for the height is:

[tex]h=\frac{s-2lw}{2(l+w)}[/tex]

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