Ratio of edges

The dimensions of the cuboid are in a ratio 3: 1: 2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.

Correct result:

V =  2514.3938 cm3

Solution:

u=28 cm a=3x b=1x c=2x u=a2+b2+c2 u2=(9+1+4)x2 x=u29+1+4=2829+1+4=2 14 m7.4833 m a=3 x=3 7.4833=6 14 m22.4499 m b=x=7.4833=2 14 m7.4833 m c=2 x=2 7.4833=4 14 m14.9666 m  V=a b c=22.4499 7.4833 14.9666=2514.3938 cm3



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