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=Sk=46852=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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