3rd dimension

The block has a surface of 42 dm2 and its dimensions are 3 dm and 2 dm. What is the third dimension?

Correct result:

c =  3 dm

Solution:

S=42 cm2 a=3 dm b=2 dm   S=2(ab+bc+ca)  S/2=ab+bc+ca  c=(S/2−a⋅ b)/(b+a)=(42/2−3⋅ 2)/(2+3)=3 dm

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