Nice prism

Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm.

Correct answer:

S =  192 cm2

Step-by-step explanation:

a+b+c=19 a2+b2+c2=132 a=3 b=4 c=19(a+b)=19(3+4)=12 S=2 (a b+b c+c a)=2 (3 4+4 12+12 3)=192 cm2

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