Of the

Of the formula S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =?

Result

c = (Correct answer is: (S/2 -ab)/(a+b))

Step-by-step explanation:

$$\begin{gathered} S=2\cdot (a\cdot b+a\cdot c+b\cdot c) \\ S\mathrm{/}2=ab+bc+ac \\ S\mathrm{/}2-ab=bc+ac \\ S\mathrm{/}2-ab=c(b+a) \\ c=(S\mathrm{/}2-ab)\mathrm{/}(a+b) \end{gathered}$$

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