Edge c

Find the edge c of cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm².

Correct answer:

c =  68 mm

Step-by-step explanation:

$$\begin{gathered} a=20\text{ mm } \\ b=30\text{ mm } \\ S=8000{\text{mm}}^2 \\ S=2(ab+bc+ca) \\ c=(S\mathrm{/}2-a\cdot b)\mathrm{/}(a+b)=(8000\mathrm{/}2-20\cdot 30)\mathrm{/}(20+30)=68\text{ mm} \end{gathered}$$

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