Ratio of edges

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

Correct answer:

V =  2514.3938 cm3

Step-by-step explanation:

u=28 cm a = 3x b = 1x c = 2x u = a2+b2+c2 u2 = (9+1+4)x2 x=9+1+4u2=9+1+4282=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=672 14=2514.3938 cm3



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