Cuboid edges

The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m2.

Correct answer:

a =  6 m
b =  9 m
c =  12 m

Step-by-step explanation:

S=468 m2 a = 2x b = 3x c=  4x  S = 2(ab+bc+ca) S = 2(2x 3x+3x 4x+4x 2x)  S = 2(2 3+3 4+4 2) x2  k=2 (2 3+3 4+4 2)=52 S = k x2  x=kS=52468=3 m  a=2 x=2 3=6 m
b=3 x=3 3=9 m
c=4 x=4 3=12 m

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